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Finding the Fourth Proportional to 4,227.64, 5,834.40 and 2,339.24

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Solution

The fourth proportional to 4,227.64, 5,834.40 and 2,339.24 is: 3,228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.64 : 5,834.40 = 2,339.24 : x
  2. Step 2: Convert to fraction form
    4,227.64/5,834.40 = 2,339.24/x
  3. Step 3: Cross multiply
    4,227.64x = 5,834.40 × 2,339.24
  4. Step 4: Simplify right side
    4,227.64x = 13,648,061.86
  5. Step 5: Solve for x
    x = 13,648,061.86/4,227.64
  6. Step 6: Final answer
    x = 3,228.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.