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Finding the Fourth Proportional to 5,177.20, 7,765.80 and 4,010.80

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Solution

The fourth proportional to 5,177.20, 7,765.80 and 4,010.80 is: 6,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.20 : 7,765.80 = 4,010.80 : x
  2. Step 2: Convert to fraction form
    5,177.20/7,765.80 = 4,010.80/x
  3. Step 3: Cross multiply
    5,177.20x = 7,765.80 × 4,010.80
  4. Step 4: Simplify right side
    5,177.20x = 31,147,070.64
  5. Step 5: Solve for x
    x = 31,147,070.64/5,177.20
  6. Step 6: Final answer
    x = 6,016.20

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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.