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Finding the Fourth Proportional to 5,489.70, 8,234.55 and 2,411.70

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Solution

The fourth proportional to 5,489.70, 8,234.55 and 2,411.70 is: 3,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.70 : 8,234.55 = 2,411.70 : x
  2. Step 2: Convert to fraction form
    5,489.70/8,234.55 = 2,411.70/x
  3. Step 3: Cross multiply
    5,489.70x = 8,234.55 × 2,411.70
  4. Step 4: Simplify right side
    5,489.70x = 19,859,264.24
  5. Step 5: Solve for x
    x = 19,859,264.24/5,489.70
  6. Step 6: Final answer
    x = 3,617.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.