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Finding the Fourth Proportional to 5,176.44, 7,764.53 and 1,280.88

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Solution

The fourth proportional to 5,176.44, 7,764.53 and 1,280.88 is: 1,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.44 : 7,764.53 = 1,280.88 : x
  2. Step 2: Convert to fraction form
    5,176.44/7,764.53 = 1,280.88/x
  3. Step 3: Cross multiply
    5,176.44x = 7,764.53 × 1,280.88
  4. Step 4: Simplify right side
    5,176.44x = 9,945,424.78
  5. Step 5: Solve for x
    x = 9,945,424.78/5,176.44
  6. Step 6: Final answer
    x = 1,921.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.