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Finding the Fourth Proportional to 3,713.52, 5,592.32 and 3,232.40

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Solution

The fourth proportional to 3,713.52, 5,592.32 and 3,232.40 is: 4,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.52 : 5,592.32 = 3,232.40 : x
  2. Step 2: Convert to fraction form
    3,713.52/5,592.32 = 3,232.40/x
  3. Step 3: Cross multiply
    3,713.52x = 5,592.32 × 3,232.40
  4. Step 4: Simplify right side
    3,713.52x = 18,076,615.17
  5. Step 5: Solve for x
    x = 18,076,615.17/3,713.52
  6. Step 6: Final answer
    x = 4,867.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.