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Finding the Fourth Proportional to 2,627.20, 3,616.32 and 2,627.20

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Solution

The fourth proportional to 2,627.20, 3,616.32 and 2,627.20 is: 3,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.20 : 3,616.32 = 2,627.20 : x
  2. Step 2: Convert to fraction form
    2,627.20/3,616.32 = 2,627.20/x
  3. Step 3: Cross multiply
    2,627.20x = 3,616.32 × 2,627.20
  4. Step 4: Simplify right side
    2,627.20x = 9,500,795.90
  5. Step 5: Solve for x
    x = 9,500,795.90/2,627.20
  6. Step 6: Final answer
    x = 3,616.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.