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Finding the Fourth Proportional to 5,659.70, 7,811.32 and 3,142.62

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Solution

The fourth proportional to 5,659.70, 7,811.32 and 3,142.62 is: 4,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.70 : 7,811.32 = 3,142.62 : x
  2. Step 2: Convert to fraction form
    5,659.70/7,811.32 = 3,142.62/x
  3. Step 3: Cross multiply
    5,659.70x = 7,811.32 × 3,142.62
  4. Step 4: Simplify right side
    5,659.70x = 24,548,010.46
  5. Step 5: Solve for x
    x = 24,548,010.46/5,659.70
  6. Step 6: Final answer
    x = 4,337.33

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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.