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Finding the Fourth Proportional to 3,278.56, 4,525.52 and 1,952.68

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Solution

The fourth proportional to 3,278.56, 4,525.52 and 1,952.68 is: 2,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.56 : 4,525.52 = 1,952.68 : x
  2. Step 2: Convert to fraction form
    3,278.56/4,525.52 = 1,952.68/x
  3. Step 3: Cross multiply
    3,278.56x = 4,525.52 × 1,952.68
  4. Step 4: Simplify right side
    3,278.56x = 8,836,892.39
  5. Step 5: Solve for x
    x = 8,836,892.39/3,278.56
  6. Step 6: Final answer
    x = 2,695.36

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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.