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Finding the Fourth Proportional to 4,119.52, 5,684.70 and 2,327

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Solution

The fourth proportional to 4,119.52, 5,684.70 and 2,327 is: 3,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.52 : 5,684.70 = 2,327 : x
  2. Step 2: Convert to fraction form
    4,119.52/5,684.70 = 2,327/x
  3. Step 3: Cross multiply
    4,119.52x = 5,684.70 × 2,327
  4. Step 4: Simplify right side
    4,119.52x = 13,228,296.90
  5. Step 5: Solve for x
    x = 13,228,296.90/4,119.52
  6. Step 6: Final answer
    x = 3,211.13

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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.