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Finding the Fourth Proportional to 3,826.35, 5,737.91 and 1,452.87

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Solution

The fourth proportional to 3,826.35, 5,737.91 and 1,452.87 is: 2,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.35 : 5,737.91 = 1,452.87 : x
  2. Step 2: Convert to fraction form
    3,826.35/5,737.91 = 1,452.87/x
  3. Step 3: Cross multiply
    3,826.35x = 5,737.91 × 1,452.87
  4. Step 4: Simplify right side
    3,826.35x = 8,336,430.04
  5. Step 5: Solve for x
    x = 8,336,430.04/3,826.35
  6. Step 6: Final answer
    x = 2,178.69

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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.