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Finding the Fourth Proportional to 5,711.52, 7,885.80 and 3,699.78

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Solution

The fourth proportional to 5,711.52, 7,885.80 and 3,699.78 is: 5,108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.52 : 7,885.80 = 3,699.78 : x
  2. Step 2: Convert to fraction form
    5,711.52/7,885.80 = 3,699.78/x
  3. Step 3: Cross multiply
    5,711.52x = 7,885.80 × 3,699.78
  4. Step 4: Simplify right side
    5,711.52x = 29,175,725.12
  5. Step 5: Solve for x
    x = 29,175,725.12/5,711.52
  6. Step 6: Final answer
    x = 5,108.22

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