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Finding the Fourth Proportional to 4,225.52, 5,832.43 and 2,966.88

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Solution

The fourth proportional to 4,225.52, 5,832.43 and 2,966.88 is: 4,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.52 : 5,832.43 = 2,966.88 : x
  2. Step 2: Convert to fraction form
    4,225.52/5,832.43 = 2,966.88/x
  3. Step 3: Cross multiply
    4,225.52x = 5,832.43 × 2,966.88
  4. Step 4: Simplify right side
    4,225.52x = 17,304,109.91
  5. Step 5: Solve for x
    x = 17,304,109.91/4,225.52
  6. Step 6: Final answer
    x = 4,095.15

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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.