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Finding the Fourth Proportional to 3,508.43, 4,862.54 and 3,442.82

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Solution

The fourth proportional to 3,508.43, 4,862.54 and 3,442.82 is: 4,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.43 : 4,862.54 = 3,442.82 : x
  2. Step 2: Convert to fraction form
    3,508.43/4,862.54 = 3,442.82/x
  3. Step 3: Cross multiply
    3,508.43x = 4,862.54 × 3,442.82
  4. Step 4: Simplify right side
    3,508.43x = 16,740,849.96
  5. Step 5: Solve for x
    x = 16,740,849.96/3,508.43
  6. Step 6: Final answer
    x = 4,771.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.