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Finding the Fourth Proportional to 3,793.01, 5,689.31 and 1,454.13

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Solution

The fourth proportional to 3,793.01, 5,689.31 and 1,454.13 is: 2,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.01 : 5,689.31 = 1,454.13 : x
  2. Step 2: Convert to fraction form
    3,793.01/5,689.31 = 1,454.13/x
  3. Step 3: Cross multiply
    3,793.01x = 5,689.31 × 1,454.13
  4. Step 4: Simplify right side
    3,793.01x = 8,272,989.08
  5. Step 5: Solve for x
    x = 8,272,989.08/3,793.01
  6. Step 6: Final answer
    x = 2,181.12

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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.