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Finding the Fourth Proportional to 4,158.43, 5,738.66 and 2,295.43

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Solution

The fourth proportional to 4,158.43, 5,738.66 and 2,295.43 is: 3,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.43 : 5,738.66 = 2,295.43 : x
  2. Step 2: Convert to fraction form
    4,158.43/5,738.66 = 2,295.43/x
  3. Step 3: Cross multiply
    4,158.43x = 5,738.66 × 2,295.43
  4. Step 4: Simplify right side
    4,158.43x = 13,172,680.85
  5. Step 5: Solve for x
    x = 13,172,680.85/4,158.43
  6. Step 6: Final answer
    x = 3,167.71

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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.