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Finding the Fourth Proportional to 4,077.19, 6,115.79 and 3,869.43

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Solution

The fourth proportional to 4,077.19, 6,115.79 and 3,869.43 is: 5,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.19 : 6,115.79 = 3,869.43 : x
  2. Step 2: Convert to fraction form
    4,077.19/6,115.79 = 3,869.43/x
  3. Step 3: Cross multiply
    4,077.19x = 6,115.79 × 3,869.43
  4. Step 4: Simplify right side
    4,077.19x = 23,664,621.30
  5. Step 5: Solve for x
    x = 23,664,621.30/4,077.19
  6. Step 6: Final answer
    x = 5,804.15

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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.