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Finding the Fourth Proportional to 4,177.60, 5,765.22 and 2,289.31

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Solution

The fourth proportional to 4,177.60, 5,765.22 and 2,289.31 is: 3,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.60 : 5,765.22 = 2,289.31 : x
  2. Step 2: Convert to fraction form
    4,177.60/5,765.22 = 2,289.31/x
  3. Step 3: Cross multiply
    4,177.60x = 5,765.22 × 2,289.31
  4. Step 4: Simplify right side
    4,177.60x = 13,198,375.80
  5. Step 5: Solve for x
    x = 13,198,375.80/4,177.60
  6. Step 6: Final answer
    x = 3,159.32

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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.