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Finding the Fourth Proportional to 3,439.80, 5,160.84 and 1,100.16

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Solution

The fourth proportional to 3,439.80, 5,160.84 and 1,100.16 is: 1,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.80 : 5,160.84 = 1,100.16 : x
  2. Step 2: Convert to fraction form
    3,439.80/5,160.84 = 1,100.16/x
  3. Step 3: Cross multiply
    3,439.80x = 5,160.84 × 1,100.16
  4. Step 4: Simplify right side
    3,439.80x = 5,677,749.73
  5. Step 5: Solve for x
    x = 5,677,749.73/3,439.80
  6. Step 6: Final answer
    x = 1,650.60

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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.