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Finding the Fourth Proportional to 3,534.09, 5,278.04 and 3,008.49

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Solution

The fourth proportional to 3,534.09, 5,278.04 and 3,008.49 is: 4,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.09 : 5,278.04 = 3,008.49 : x
  2. Step 2: Convert to fraction form
    3,534.09/5,278.04 = 3,008.49/x
  3. Step 3: Cross multiply
    3,534.09x = 5,278.04 × 3,008.49
  4. Step 4: Simplify right side
    3,534.09x = 15,878,915.52
  5. Step 5: Solve for x
    x = 15,878,915.52/3,534.09
  6. Step 6: Final answer
    x = 4,493.07

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.