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Finding the Fourth Proportional to 3,898.49, 5,847.73 and 1,125.17

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Solution

The fourth proportional to 3,898.49, 5,847.73 and 1,125.17 is: 1,687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.49 : 5,847.73 = 1,125.17 : x
  2. Step 2: Convert to fraction form
    3,898.49/5,847.73 = 1,125.17/x
  3. Step 3: Cross multiply
    3,898.49x = 5,847.73 × 1,125.17
  4. Step 4: Simplify right side
    3,898.49x = 6,579,658.31
  5. Step 5: Solve for x
    x = 6,579,658.31/3,898.49
  6. Step 6: Final answer
    x = 1,687.75

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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.