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Finding the Fourth Proportional to 5,489.68, 7,574.70 and 3,131.76

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Solution

The fourth proportional to 5,489.68, 7,574.70 and 3,131.76 is: 4,321.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.68 : 7,574.70 = 3,131.76 : x
  2. Step 2: Convert to fraction form
    5,489.68/7,574.70 = 3,131.76/x
  3. Step 3: Cross multiply
    5,489.68x = 7,574.70 × 3,131.76
  4. Step 4: Simplify right side
    5,489.68x = 23,722,142.47
  5. Step 5: Solve for x
    x = 23,722,142.47/5,489.68
  6. Step 6: Final answer
    x = 4,321.23

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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.