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Finding the Fourth Proportional to 3,444.74, 5,163.80 and 1,103.46

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Solution

The fourth proportional to 3,444.74, 5,163.80 and 1,103.46 is: 1,654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.74 : 5,163.80 = 1,103.46 : x
  2. Step 2: Convert to fraction form
    3,444.74/5,163.80 = 1,103.46/x
  3. Step 3: Cross multiply
    3,444.74x = 5,163.80 × 1,103.46
  4. Step 4: Simplify right side
    3,444.74x = 5,698,046.75
  5. Step 5: Solve for x
    x = 5,698,046.75/3,444.74
  6. Step 6: Final answer
    x = 1,654.13

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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.