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Finding the Fourth Proportional to 6,520.08, 9,002.02 and 4,040.40

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Solution

The fourth proportional to 6,520.08, 9,002.02 and 4,040.40 is: 5,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.08 : 9,002.02 = 4,040.40 : x
  2. Step 2: Convert to fraction form
    6,520.08/9,002.02 = 4,040.40/x
  3. Step 3: Cross multiply
    6,520.08x = 9,002.02 × 4,040.40
  4. Step 4: Simplify right side
    6,520.08x = 36,371,761.61
  5. Step 5: Solve for x
    x = 36,371,761.61/6,520.08
  6. Step 6: Final answer
    x = 5,578.42

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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.