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Finding the Fourth Proportional to 3,589.92, 4,951.44 and 2,705.76

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Solution

The fourth proportional to 3,589.92, 4,951.44 and 2,705.76 is: 3,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.92 : 4,951.44 = 2,705.76 : x
  2. Step 2: Convert to fraction form
    3,589.92/4,951.44 = 2,705.76/x
  3. Step 3: Cross multiply
    3,589.92x = 4,951.44 × 2,705.76
  4. Step 4: Simplify right side
    3,589.92x = 13,397,408.29
  5. Step 5: Solve for x
    x = 13,397,408.29/3,589.92
  6. Step 6: Final answer
    x = 3,731.95

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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.