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Finding the Fourth Proportional to 6,314.17, 8,711.81 and 3,625.38

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Solution

The fourth proportional to 6,314.17, 8,711.81 and 3,625.38 is: 5,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.17 : 8,711.81 = 3,625.38 : x
  2. Step 2: Convert to fraction form
    6,314.17/8,711.81 = 3,625.38/x
  3. Step 3: Cross multiply
    6,314.17x = 8,711.81 × 3,625.38
  4. Step 4: Simplify right side
    6,314.17x = 31,583,560.05
  5. Step 5: Solve for x
    x = 31,583,560.05/6,314.17
  6. Step 6: Final answer
    x = 5,002.01

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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.