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Finding the Fourth Proportional to 5,777.20, 8,665.80 and 5,412.70

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Solution

The fourth proportional to 5,777.20, 8,665.80 and 5,412.70 is: 8,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.20 : 8,665.80 = 5,412.70 : x
  2. Step 2: Convert to fraction form
    5,777.20/8,665.80 = 5,412.70/x
  3. Step 3: Cross multiply
    5,777.20x = 8,665.80 × 5,412.70
  4. Step 4: Simplify right side
    5,777.20x = 46,905,375.66
  5. Step 5: Solve for x
    x = 46,905,375.66/5,777.20
  6. Step 6: Final answer
    x = 8,119.05

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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.