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Finding the Fourth Proportional to 3,534.42, 5,275.78 and 3,277.42

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Solution

The fourth proportional to 3,534.42, 5,275.78 and 3,277.42 is: 4,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.42 : 5,275.78 = 3,277.42 : x
  2. Step 2: Convert to fraction form
    3,534.42/5,275.78 = 3,277.42/x
  3. Step 3: Cross multiply
    3,534.42x = 5,275.78 × 3,277.42
  4. Step 4: Simplify right side
    3,534.42x = 17,290,946.89
  5. Step 5: Solve for x
    x = 17,290,946.89/3,534.42
  6. Step 6: Final answer
    x = 4,892.16

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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.