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Finding the Fourth Proportional to 3,948.96, 5,447.76 and 2,292

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Solution

The fourth proportional to 3,948.96, 5,447.76 and 2,292 is: 3,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.96 : 5,447.76 = 2,292 : x
  2. Step 2: Convert to fraction form
    3,948.96/5,447.76 = 2,292/x
  3. Step 3: Cross multiply
    3,948.96x = 5,447.76 × 2,292
  4. Step 4: Simplify right side
    3,948.96x = 12,486,265.92
  5. Step 5: Solve for x
    x = 12,486,265.92/3,948.96
  6. Step 6: Final answer
    x = 3,161.91

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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.