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Finding the Fourth Proportional to 5,765.44, 8,641.68 and 4,119.52

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Solution

The fourth proportional to 5,765.44, 8,641.68 and 4,119.52 is: 6,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.44 : 8,641.68 = 4,119.52 : x
  2. Step 2: Convert to fraction form
    5,765.44/8,641.68 = 4,119.52/x
  3. Step 3: Cross multiply
    5,765.44x = 8,641.68 × 4,119.52
  4. Step 4: Simplify right side
    5,765.44x = 35,599,573.59
  5. Step 5: Solve for x
    x = 35,599,573.59/5,765.44
  6. Step 6: Final answer
    x = 6,174.65

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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.