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Finding the Fourth Proportional to 5,489.93, 7,576.38 and 3,132.02

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Solution

The fourth proportional to 5,489.93, 7,576.38 and 3,132.02 is: 4,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.93 : 7,576.38 = 3,132.02 : x
  2. Step 2: Convert to fraction form
    5,489.93/7,576.38 = 3,132.02/x
  3. Step 3: Cross multiply
    5,489.93x = 7,576.38 × 3,132.02
  4. Step 4: Simplify right side
    5,489.93x = 23,729,335.81
  5. Step 5: Solve for x
    x = 23,729,335.81/5,489.93
  6. Step 6: Final answer
    x = 4,322.34

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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.