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Finding the Fourth Proportional to 3,898.47, 5,845.92 and 1,124.52

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Solution

The fourth proportional to 3,898.47, 5,845.92 and 1,124.52 is: 1,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.47 : 5,845.92 = 1,124.52 : x
  2. Step 2: Convert to fraction form
    3,898.47/5,845.92 = 1,124.52/x
  3. Step 3: Cross multiply
    3,898.47x = 5,845.92 × 1,124.52
  4. Step 4: Simplify right side
    3,898.47x = 6,573,853.96
  5. Step 5: Solve for x
    x = 6,573,853.96/3,898.47
  6. Step 6: Final answer
    x = 1,686.27

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Why These Related Problems?

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