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Finding the Fourth Proportional to 6,002.47, 8,279.76 and 3,874.66

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Solution

The fourth proportional to 6,002.47, 8,279.76 and 3,874.66 is: 5,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.47 : 8,279.76 = 3,874.66 : x
  2. Step 2: Convert to fraction form
    6,002.47/8,279.76 = 3,874.66/x
  3. Step 3: Cross multiply
    6,002.47x = 8,279.76 × 3,874.66
  4. Step 4: Simplify right side
    6,002.47x = 32,081,254.88
  5. Step 5: Solve for x
    x = 32,081,254.88/6,002.47
  6. Step 6: Final answer
    x = 5,344.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.