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Finding the Fourth Proportional to 5,615.40, 8,423.10 and 5,500.20

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Solution

The fourth proportional to 5,615.40, 8,423.10 and 5,500.20 is: 8,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.40 : 8,423.10 = 5,500.20 : x
  2. Step 2: Convert to fraction form
    5,615.40/8,423.10 = 5,500.20/x
  3. Step 3: Cross multiply
    5,615.40x = 8,423.10 × 5,500.20
  4. Step 4: Simplify right side
    5,615.40x = 46,328,734.62
  5. Step 5: Solve for x
    x = 46,328,734.62/5,615.40
  6. Step 6: Final answer
    x = 8,250.30

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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.