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Finding the Fourth Proportional to 4,158.68, 5,739.77 and 2,666.56

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Solution

The fourth proportional to 4,158.68, 5,739.77 and 2,666.56 is: 3,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.68 : 5,739.77 = 2,666.56 : x
  2. Step 2: Convert to fraction form
    4,158.68/5,739.77 = 2,666.56/x
  3. Step 3: Cross multiply
    4,158.68x = 5,739.77 × 2,666.56
  4. Step 4: Simplify right side
    4,158.68x = 15,305,399.06
  5. Step 5: Solve for x
    x = 15,305,399.06/4,158.68
  6. Step 6: Final answer
    x = 3,680.35

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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.