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Finding the Fourth Proportional to 6,098.40, 8,401.32 and 5,029.20

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Solution

The fourth proportional to 6,098.40, 8,401.32 and 5,029.20 is: 6,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.40 : 8,401.32 = 5,029.20 : x
  2. Step 2: Convert to fraction form
    6,098.40/8,401.32 = 5,029.20/x
  3. Step 3: Cross multiply
    6,098.40x = 8,401.32 × 5,029.20
  4. Step 4: Simplify right side
    6,098.40x = 42,251,918.54
  5. Step 5: Solve for x
    x = 42,251,918.54/6,098.40
  6. Step 6: Final answer
    x = 6,928.36

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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.