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Finding the Fourth Proportional to 4,158.70, 5,739.11 and 2,366.47

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Solution

The fourth proportional to 4,158.70, 5,739.11 and 2,366.47 is: 3,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.70 : 5,739.11 = 2,366.47 : x
  2. Step 2: Convert to fraction form
    4,158.70/5,739.11 = 2,366.47/x
  3. Step 3: Cross multiply
    4,158.70x = 5,739.11 × 2,366.47
  4. Step 4: Simplify right side
    4,158.70x = 13,581,431.64
  5. Step 5: Solve for x
    x = 13,581,431.64/4,158.70
  6. Step 6: Final answer
    x = 3,265.79

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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.