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Finding the Fourth Proportional to 5,803.74, 8,009.28 and 3,534.30

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Solution

The fourth proportional to 5,803.74, 8,009.28 and 3,534.30 is: 4,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.74 : 8,009.28 = 3,534.30 : x
  2. Step 2: Convert to fraction form
    5,803.74/8,009.28 = 3,534.30/x
  3. Step 3: Cross multiply
    5,803.74x = 8,009.28 × 3,534.30
  4. Step 4: Simplify right side
    5,803.74x = 28,307,198.30
  5. Step 5: Solve for x
    x = 28,307,198.30/5,803.74
  6. Step 6: Final answer
    x = 4,877.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.