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Finding the Fourth Proportional to 5,176.80, 7,765.76 and 1,479.20

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Solution

The fourth proportional to 5,176.80, 7,765.76 and 1,479.20 is: 2,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.80 : 7,765.76 = 1,479.20 : x
  2. Step 2: Convert to fraction form
    5,176.80/7,765.76 = 1,479.20/x
  3. Step 3: Cross multiply
    5,176.80x = 7,765.76 × 1,479.20
  4. Step 4: Simplify right side
    5,176.80x = 11,487,112.19
  5. Step 5: Solve for x
    x = 11,487,112.19/5,176.80
  6. Step 6: Final answer
    x = 2,218.96

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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.