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Finding the Fourth Proportional to 3,502.92, 5,254.38 and 2,686.44

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Solution

The fourth proportional to 3,502.92, 5,254.38 and 2,686.44 is: 4,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.92 : 5,254.38 = 2,686.44 : x
  2. Step 2: Convert to fraction form
    3,502.92/5,254.38 = 2,686.44/x
  3. Step 3: Cross multiply
    3,502.92x = 5,254.38 × 2,686.44
  4. Step 4: Simplify right side
    3,502.92x = 14,115,576.61
  5. Step 5: Solve for x
    x = 14,115,576.61/3,502.92
  6. Step 6: Final answer
    x = 4,029.66

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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.