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Finding the Fourth Proportional to 3,471.54, 5,209.47 and 1,280.76

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Solution

The fourth proportional to 3,471.54, 5,209.47 and 1,280.76 is: 1,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.54 : 5,209.47 = 1,280.76 : x
  2. Step 2: Convert to fraction form
    3,471.54/5,209.47 = 1,280.76/x
  3. Step 3: Cross multiply
    3,471.54x = 5,209.47 × 1,280.76
  4. Step 4: Simplify right side
    3,471.54x = 6,672,080.80
  5. Step 5: Solve for x
    x = 6,672,080.80/3,471.54
  6. Step 6: Final answer
    x = 1,921.94

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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.