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Finding the Fourth Proportional to 4,158.29, 6,232.22 and 2,078.87

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Solution

The fourth proportional to 4,158.29, 6,232.22 and 2,078.87 is: 3,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.29 : 6,232.22 = 2,078.87 : x
  2. Step 2: Convert to fraction form
    4,158.29/6,232.22 = 2,078.87/x
  3. Step 3: Cross multiply
    4,158.29x = 6,232.22 × 2,078.87
  4. Step 4: Simplify right side
    4,158.29x = 12,955,975.19
  5. Step 5: Solve for x
    x = 12,955,975.19/4,158.29
  6. Step 6: Final answer
    x = 3,115.70

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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.