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Finding the Fourth Proportional to 5,428.68, 8,143.02 and 1,966.20

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Solution

The fourth proportional to 5,428.68, 8,143.02 and 1,966.20 is: 2,949.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.68 : 8,143.02 = 1,966.20 : x
  2. Step 2: Convert to fraction form
    5,428.68/8,143.02 = 1,966.20/x
  3. Step 3: Cross multiply
    5,428.68x = 8,143.02 × 1,966.20
  4. Step 4: Simplify right side
    5,428.68x = 16,010,805.92
  5. Step 5: Solve for x
    x = 16,010,805.92/5,428.68
  6. Step 6: Final answer
    x = 2,949.30

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Similar ratio
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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.