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Finding the Fourth Proportional to 5,105.70, 7,659.36 and 2,470.77

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Solution

The fourth proportional to 5,105.70, 7,659.36 and 2,470.77 is: 3,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.70 : 7,659.36 = 2,470.77 : x
  2. Step 2: Convert to fraction form
    5,105.70/7,659.36 = 2,470.77/x
  3. Step 3: Cross multiply
    5,105.70x = 7,659.36 × 2,470.77
  4. Step 4: Simplify right side
    5,105.70x = 18,924,516.91
  5. Step 5: Solve for x
    x = 18,924,516.91/5,105.70
  6. Step 6: Final answer
    x = 3,706.55

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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.