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Finding the Fourth Proportional to 5,176.62, 7,765.01 and 1,478.69

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Solution

The fourth proportional to 5,176.62, 7,765.01 and 1,478.69 is: 2,218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.62 : 7,765.01 = 1,478.69 : x
  2. Step 2: Convert to fraction form
    5,176.62/7,765.01 = 1,478.69/x
  3. Step 3: Cross multiply
    5,176.62x = 7,765.01 × 1,478.69
  4. Step 4: Simplify right side
    5,176.62x = 11,481,996.42
  5. Step 5: Solve for x
    x = 11,481,996.42/5,176.62
  6. Step 6: Final answer
    x = 2,218.05

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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.