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Finding the Fourth Proportional to 4,478.77, 6,175.15 and 2,882.71

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Solution

The fourth proportional to 4,478.77, 6,175.15 and 2,882.71 is: 3,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.77 : 6,175.15 = 2,882.71 : x
  2. Step 2: Convert to fraction form
    4,478.77/6,175.15 = 2,882.71/x
  3. Step 3: Cross multiply
    4,478.77x = 6,175.15 × 2,882.71
  4. Step 4: Simplify right side
    4,478.77x = 17,801,166.66
  5. Step 5: Solve for x
    x = 17,801,166.66/4,478.77
  6. Step 6: Final answer
    x = 3,974.57

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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.