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Finding the Fourth Proportional to 3,142.24, 4,714.10 and 951.13

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Solution

The fourth proportional to 3,142.24, 4,714.10 and 951.13 is: 1,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.24 : 4,714.10 = 951.13 : x
  2. Step 2: Convert to fraction form
    3,142.24/4,714.10 = 951.13/x
  3. Step 3: Cross multiply
    3,142.24x = 4,714.10 × 951.13
  4. Step 4: Simplify right side
    3,142.24x = 4,483,721.93
  5. Step 5: Solve for x
    x = 4,483,721.93/3,142.24
  6. Step 6: Final answer
    x = 1,426.92

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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.