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Finding the Fourth Proportional to 5,176.34, 7,764.38 and 1,280.78

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Solution

The fourth proportional to 5,176.34, 7,764.38 and 1,280.78 is: 1,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.34 : 7,764.38 = 1,280.78 : x
  2. Step 2: Convert to fraction form
    5,176.34/7,764.38 = 1,280.78/x
  3. Step 3: Cross multiply
    5,176.34x = 7,764.38 × 1,280.78
  4. Step 4: Simplify right side
    5,176.34x = 9,944,462.62
  5. Step 5: Solve for x
    x = 9,944,462.62/5,176.34
  6. Step 6: Final answer
    x = 1,921.14

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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.