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Finding the Fourth Proportional to 5,500.28, 8,250.40 and 3,655

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Solution

The fourth proportional to 5,500.28, 8,250.40 and 3,655 is: 5,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.28 : 8,250.40 = 3,655 : x
  2. Step 2: Convert to fraction form
    5,500.28/8,250.40 = 3,655/x
  3. Step 3: Cross multiply
    5,500.28x = 8,250.40 × 3,655
  4. Step 4: Simplify right side
    5,500.28x = 30,155,212
  5. Step 5: Solve for x
    x = 30,155,212/5,500.28
  6. Step 6: Final answer
    x = 5,482.49

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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.