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Finding the Fourth Proportional to 3,898.71, 5,847.18 and 1,124.76

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Solution

The fourth proportional to 3,898.71, 5,847.18 and 1,124.76 is: 1,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.71 : 5,847.18 = 1,124.76 : x
  2. Step 2: Convert to fraction form
    3,898.71/5,847.18 = 1,124.76/x
  3. Step 3: Cross multiply
    3,898.71x = 5,847.18 × 1,124.76
  4. Step 4: Simplify right side
    3,898.71x = 6,576,674.18
  5. Step 5: Solve for x
    x = 6,576,674.18/3,898.71
  6. Step 6: Final answer
    x = 1,686.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.