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Finding the Fourth Proportional to 5,749.56, 8,617.12 and 2,458.78

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Solution

The fourth proportional to 5,749.56, 8,617.12 and 2,458.78 is: 3,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.56 : 8,617.12 = 2,458.78 : x
  2. Step 2: Convert to fraction form
    5,749.56/8,617.12 = 2,458.78/x
  3. Step 3: Cross multiply
    5,749.56x = 8,617.12 × 2,458.78
  4. Step 4: Simplify right side
    5,749.56x = 21,187,602.31
  5. Step 5: Solve for x
    x = 21,187,602.31/5,749.56
  6. Step 6: Final answer
    x = 3,685.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.