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Finding the Fourth Proportional to 4,029.82, 5,591.50 and 3,915

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Solution

The fourth proportional to 4,029.82, 5,591.50 and 3,915 is: 5,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029.82 : 5,591.50 = 3,915 : x
  2. Step 2: Convert to fraction form
    4,029.82/5,591.50 = 3,915/x
  3. Step 3: Cross multiply
    4,029.82x = 5,591.50 × 3,915
  4. Step 4: Simplify right side
    4,029.82x = 21,890,712.71
  5. Step 5: Solve for x
    x = 21,890,712.71/4,029.82
  6. Step 6: Final answer
    x = 5,432.18

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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.