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Finding the Fourth Proportional to 3,635.46, 5,454 and 1,038.42

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Solution

The fourth proportional to 3,635.46, 5,454 and 1,038.42 is: 1,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.46 : 5,454 = 1,038.42 : x
  2. Step 2: Convert to fraction form
    3,635.46/5,454 = 1,038.42/x
  3. Step 3: Cross multiply
    3,635.46x = 5,454 × 1,038.42
  4. Step 4: Simplify right side
    3,635.46x = 5,663,542.68
  5. Step 5: Solve for x
    x = 5,663,542.68/3,635.46
  6. Step 6: Final answer
    x = 1,557.86

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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.