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Finding the Fourth Proportional to 5,706.54, 7,873.29 and 3,719.97

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Solution

The fourth proportional to 5,706.54, 7,873.29 and 3,719.97 is: 5,132.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.54 : 7,873.29 = 3,719.97 : x
  2. Step 2: Convert to fraction form
    5,706.54/7,873.29 = 3,719.97/x
  3. Step 3: Cross multiply
    5,706.54x = 7,873.29 × 3,719.97
  4. Step 4: Simplify right side
    5,706.54x = 29,288,402.60
  5. Step 5: Solve for x
    x = 29,288,402.60/5,706.54
  6. Step 6: Final answer
    x = 5,132.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.