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Finding the Fourth Proportional to 3,882.60, 5,815.18 and 3,014.28

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Solution

The fourth proportional to 3,882.60, 5,815.18 and 3,014.28 is: 4,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.60 : 5,815.18 = 3,014.28 : x
  2. Step 2: Convert to fraction form
    3,882.60/5,815.18 = 3,014.28/x
  3. Step 3: Cross multiply
    3,882.60x = 5,815.18 × 3,014.28
  4. Step 4: Simplify right side
    3,882.60x = 17,528,580.77
  5. Step 5: Solve for x
    x = 17,528,580.77/3,882.60
  6. Step 6: Final answer
    x = 4,514.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.