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Finding the Fourth Proportional to 2,975.72, 4,463.60 and 2,327

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Solution

The fourth proportional to 2,975.72, 4,463.60 and 2,327 is: 3,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.72 : 4,463.60 = 2,327 : x
  2. Step 2: Convert to fraction form
    2,975.72/4,463.60 = 2,327/x
  3. Step 3: Cross multiply
    2,975.72x = 4,463.60 × 2,327
  4. Step 4: Simplify right side
    2,975.72x = 10,386,797.20
  5. Step 5: Solve for x
    x = 10,386,797.20/2,975.72
  6. Step 6: Final answer
    x = 3,490.52

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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.