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Finding the Fourth Proportional to 3,642.86, 5,029.05 and 2,454.11

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Solution

The fourth proportional to 3,642.86, 5,029.05 and 2,454.11 is: 3,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.86 : 5,029.05 = 2,454.11 : x
  2. Step 2: Convert to fraction form
    3,642.86/5,029.05 = 2,454.11/x
  3. Step 3: Cross multiply
    3,642.86x = 5,029.05 × 2,454.11
  4. Step 4: Simplify right side
    3,642.86x = 12,341,841.90
  5. Step 5: Solve for x
    x = 12,341,841.90/3,642.86
  6. Step 6: Final answer
    x = 3,387.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.