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Finding the Fourth Proportional to 3,116.92, 4,676.32 and 1,142.52

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Solution

The fourth proportional to 3,116.92, 4,676.32 and 1,142.52 is: 1,714.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.92 : 4,676.32 = 1,142.52 : x
  2. Step 2: Convert to fraction form
    3,116.92/4,676.32 = 1,142.52/x
  3. Step 3: Cross multiply
    3,116.92x = 4,676.32 × 1,142.52
  4. Step 4: Simplify right side
    3,116.92x = 5,342,789.13
  5. Step 5: Solve for x
    x = 5,342,789.13/3,116.92
  6. Step 6: Final answer
    x = 1,714.12

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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.