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Finding the Fourth Proportional to 3,887.36, 5,834.07 and 1,423.74

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Solution

The fourth proportional to 3,887.36, 5,834.07 and 1,423.74 is: 2,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.36 : 5,834.07 = 1,423.74 : x
  2. Step 2: Convert to fraction form
    3,887.36/5,834.07 = 1,423.74/x
  3. Step 3: Cross multiply
    3,887.36x = 5,834.07 × 1,423.74
  4. Step 4: Simplify right side
    3,887.36x = 8,306,198.82
  5. Step 5: Solve for x
    x = 8,306,198.82/3,887.36
  6. Step 6: Final answer
    x = 2,136.72

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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.