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Finding the Fourth Proportional to 3,597.78, 4,965 and 2,025.90

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Solution

The fourth proportional to 3,597.78, 4,965 and 2,025.90 is: 2,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.78 : 4,965 = 2,025.90 : x
  2. Step 2: Convert to fraction form
    3,597.78/4,965 = 2,025.90/x
  3. Step 3: Cross multiply
    3,597.78x = 4,965 × 2,025.90
  4. Step 4: Simplify right side
    3,597.78x = 10,058,593.50
  5. Step 5: Solve for x
    x = 10,058,593.50/3,597.78
  6. Step 6: Final answer
    x = 2,795.78

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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.