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Finding the Fourth Proportional to 3,442.80, 5,166 and 3,256.92

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Solution

The fourth proportional to 3,442.80, 5,166 and 3,256.92 is: 4,887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.80 : 5,166 = 3,256.92 : x
  2. Step 2: Convert to fraction form
    3,442.80/5,166 = 3,256.92/x
  3. Step 3: Cross multiply
    3,442.80x = 5,166 × 3,256.92
  4. Step 4: Simplify right side
    3,442.80x = 16,825,248.72
  5. Step 5: Solve for x
    x = 16,825,248.72/3,442.80
  6. Step 6: Final answer
    x = 4,887.08

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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.