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Finding the Fourth Proportional to 5,459.60, 8,190.72 and 2,540

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Solution

The fourth proportional to 5,459.60, 8,190.72 and 2,540 is: 3,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.60 : 8,190.72 = 2,540 : x
  2. Step 2: Convert to fraction form
    5,459.60/8,190.72 = 2,540/x
  3. Step 3: Cross multiply
    5,459.60x = 8,190.72 × 2,540
  4. Step 4: Simplify right side
    5,459.60x = 20,804,428.80
  5. Step 5: Solve for x
    x = 20,804,428.80/5,459.60
  6. Step 6: Final answer
    x = 3,810.61

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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.