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Finding the Fourth Proportional to 5,459.80, 8,189.70 and 5,229.40

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Solution

The fourth proportional to 5,459.80, 8,189.70 and 5,229.40 is: 7,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.80 : 8,189.70 = 5,229.40 : x
  2. Step 2: Convert to fraction form
    5,459.80/8,189.70 = 5,229.40/x
  3. Step 3: Cross multiply
    5,459.80x = 8,189.70 × 5,229.40
  4. Step 4: Simplify right side
    5,459.80x = 42,827,217.18
  5. Step 5: Solve for x
    x = 42,827,217.18/5,459.80
  6. Step 6: Final answer
    x = 7,844.10

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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.