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Finding the Fourth Proportional to 4,158.69, 5,738.95 and 2,270.24

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Solution

The fourth proportional to 4,158.69, 5,738.95 and 2,270.24 is: 3,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.69 : 5,738.95 = 2,270.24 : x
  2. Step 2: Convert to fraction form
    4,158.69/5,738.95 = 2,270.24/x
  3. Step 3: Cross multiply
    4,158.69x = 5,738.95 × 2,270.24
  4. Step 4: Simplify right side
    4,158.69x = 13,028,793.85
  5. Step 5: Solve for x
    x = 13,028,793.85/4,158.69
  6. Step 6: Final answer
    x = 3,132.91

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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.