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Finding the Fourth Proportional to 4,007.52, 5,531.76 and 3,713.76

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Solution

The fourth proportional to 4,007.52, 5,531.76 and 3,713.76 is: 5,126.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.52 : 5,531.76 = 3,713.76 : x
  2. Step 2: Convert to fraction form
    4,007.52/5,531.76 = 3,713.76/x
  3. Step 3: Cross multiply
    4,007.52x = 5,531.76 × 3,713.76
  4. Step 4: Simplify right side
    4,007.52x = 20,543,629.02
  5. Step 5: Solve for x
    x = 20,543,629.02/4,007.52
  6. Step 6: Final answer
    x = 5,126.27

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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.