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Finding the Fourth Proportional to 3,715.86, 5,125.32 and 2,534.88

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Solution

The fourth proportional to 3,715.86, 5,125.32 and 2,534.88 is: 3,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.86 : 5,125.32 = 2,534.88 : x
  2. Step 2: Convert to fraction form
    3,715.86/5,125.32 = 2,534.88/x
  3. Step 3: Cross multiply
    3,715.86x = 5,125.32 × 2,534.88
  4. Step 4: Simplify right side
    3,715.86x = 12,992,071.16
  5. Step 5: Solve for x
    x = 12,992,071.16/3,715.86
  6. Step 6: Final answer
    x = 3,496.38

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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.