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Finding the Fourth Proportional to 5,938.16, 8,189.24 and 5,098.59

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Solution

The fourth proportional to 5,938.16, 8,189.24 and 5,098.59 is: 7,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.16 : 8,189.24 = 5,098.59 : x
  2. Step 2: Convert to fraction form
    5,938.16/8,189.24 = 5,098.59/x
  3. Step 3: Cross multiply
    5,938.16x = 8,189.24 × 5,098.59
  4. Step 4: Simplify right side
    5,938.16x = 41,753,551.68
  5. Step 5: Solve for x
    x = 41,753,551.68/5,938.16
  6. Step 6: Final answer
    x = 7,031.40

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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.