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Finding the Fourth Proportional to 3,713.88, 5,120.82 and 3,085.14

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Solution

The fourth proportional to 3,713.88, 5,120.82 and 3,085.14 is: 4,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.88 : 5,120.82 = 3,085.14 : x
  2. Step 2: Convert to fraction form
    3,713.88/5,120.82 = 3,085.14/x
  3. Step 3: Cross multiply
    3,713.88x = 5,120.82 × 3,085.14
  4. Step 4: Simplify right side
    3,713.88x = 15,798,446.61
  5. Step 5: Solve for x
    x = 15,798,446.61/3,713.88
  6. Step 6: Final answer
    x = 4,253.89

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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.