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Finding the Fourth Proportional to 4,093.38, 6,138.15 and 2,429.22

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Solution

The fourth proportional to 4,093.38, 6,138.15 and 2,429.22 is: 3,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.38 : 6,138.15 = 2,429.22 : x
  2. Step 2: Convert to fraction form
    4,093.38/6,138.15 = 2,429.22/x
  3. Step 3: Cross multiply
    4,093.38x = 6,138.15 × 2,429.22
  4. Step 4: Simplify right side
    4,093.38x = 14,910,916.74
  5. Step 5: Solve for x
    x = 14,910,916.74/4,093.38
  6. Step 6: Final answer
    x = 3,642.69

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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.