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Finding the Fourth Proportional to 4,093.92, 5,657.28 and 3,347.61

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Solution

The fourth proportional to 4,093.92, 5,657.28 and 3,347.61 is: 4,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.92 : 5,657.28 = 3,347.61 : x
  2. Step 2: Convert to fraction form
    4,093.92/5,657.28 = 3,347.61/x
  3. Step 3: Cross multiply
    4,093.92x = 5,657.28 × 3,347.61
  4. Step 4: Simplify right side
    4,093.92x = 18,938,367.10
  5. Step 5: Solve for x
    x = 18,938,367.10/4,093.92
  6. Step 6: Final answer
    x = 4,625.97

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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.