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Finding the Fourth Proportional to 4,095.72, 5,651.10 and 2,327

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Solution

The fourth proportional to 4,095.72, 5,651.10 and 2,327 is: 3,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,095.72 : 5,651.10 = 2,327 : x
  2. Step 2: Convert to fraction form
    4,095.72/5,651.10 = 2,327/x
  3. Step 3: Cross multiply
    4,095.72x = 5,651.10 × 2,327
  4. Step 4: Simplify right side
    4,095.72x = 13,150,109.70
  5. Step 5: Solve for x
    x = 13,150,109.70/4,095.72
  6. Step 6: Final answer
    x = 3,210.70

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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.