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Finding the Fourth Proportional to 3,830.87, 5,287.11 and 2,772.14

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Solution

The fourth proportional to 3,830.87, 5,287.11 and 2,772.14 is: 3,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.87 : 5,287.11 = 2,772.14 : x
  2. Step 2: Convert to fraction form
    3,830.87/5,287.11 = 2,772.14/x
  3. Step 3: Cross multiply
    3,830.87x = 5,287.11 × 2,772.14
  4. Step 4: Simplify right side
    3,830.87x = 14,656,582.68
  5. Step 5: Solve for x
    x = 14,656,582.68/3,830.87
  6. Step 6: Final answer
    x = 3,825.92

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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.