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Finding the Fourth Proportional to 3,851.76, 5,317.71 and 2,527.78

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Solution

The fourth proportional to 3,851.76, 5,317.71 and 2,527.78 is: 3,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.76 : 5,317.71 = 2,527.78 : x
  2. Step 2: Convert to fraction form
    3,851.76/5,317.71 = 2,527.78/x
  3. Step 3: Cross multiply
    3,851.76x = 5,317.71 × 2,527.78
  4. Step 4: Simplify right side
    3,851.76x = 13,442,000.98
  5. Step 5: Solve for x
    x = 13,442,000.98/3,851.76
  6. Step 6: Final answer
    x = 3,489.83

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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.