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Finding the Fourth Proportional to 3,951.23, 5,916.74 and 3,834.45

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Solution

The fourth proportional to 3,951.23, 5,916.74 and 3,834.45 is: 5,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.23 : 5,916.74 = 3,834.45 : x
  2. Step 2: Convert to fraction form
    3,951.23/5,916.74 = 3,834.45/x
  3. Step 3: Cross multiply
    3,951.23x = 5,916.74 × 3,834.45
  4. Step 4: Simplify right side
    3,951.23x = 22,687,424.52
  5. Step 5: Solve for x
    x = 22,687,424.52/3,951.23
  6. Step 6: Final answer
    x = 5,741.87

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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.