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Finding the Fourth Proportional to 4,331, 5,976.90 and 2,468

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Solution

The fourth proportional to 4,331, 5,976.90 and 2,468 is: 3,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331 : 5,976.90 = 2,468 : x
  2. Step 2: Convert to fraction form
    4,331/5,976.90 = 2,468/x
  3. Step 3: Cross multiply
    4,331x = 5,976.90 × 2,468
  4. Step 4: Simplify right side
    4,331x = 14,750,989.20
  5. Step 5: Solve for x
    x = 14,750,989.20/4,331
  6. Step 6: Final answer
    x = 3,405.91

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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.