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Finding the Fourth Proportional to 4,281.52, 5,909 and 2,418.52

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Solution

The fourth proportional to 4,281.52, 5,909 and 2,418.52 is: 3,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281.52 : 5,909 = 2,418.52 : x
  2. Step 2: Convert to fraction form
    4,281.52/5,909 = 2,418.52/x
  3. Step 3: Cross multiply
    4,281.52x = 5,909 × 2,418.52
  4. Step 4: Simplify right side
    4,281.52x = 14,291,034.68
  5. Step 5: Solve for x
    x = 14,291,034.68/4,281.52
  6. Step 6: Final answer
    x = 3,337.84

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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.