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Finding the Fourth Proportional to 6,278.62, 8,663.10 and 3,625.45

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Solution

The fourth proportional to 6,278.62, 8,663.10 and 3,625.45 is: 5,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.62 : 8,663.10 = 3,625.45 : x
  2. Step 2: Convert to fraction form
    6,278.62/8,663.10 = 3,625.45/x
  3. Step 3: Cross multiply
    6,278.62x = 8,663.10 × 3,625.45
  4. Step 4: Simplify right side
    6,278.62x = 31,407,635.90
  5. Step 5: Solve for x
    x = 31,407,635.90/6,278.62
  6. Step 6: Final answer
    x = 5,002.32

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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.