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Finding the Fourth Proportional to 3,642.90, 5,468.40 and 2,257.80

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Solution

The fourth proportional to 3,642.90, 5,468.40 and 2,257.80 is: 3,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.90 : 5,468.40 = 2,257.80 : x
  2. Step 2: Convert to fraction form
    3,642.90/5,468.40 = 2,257.80/x
  3. Step 3: Cross multiply
    3,642.90x = 5,468.40 × 2,257.80
  4. Step 4: Simplify right side
    3,642.90x = 12,346,553.52
  5. Step 5: Solve for x
    x = 12,346,553.52/3,642.90
  6. Step 6: Final answer
    x = 3,389.21

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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.