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Finding the Fourth Proportional to 3,404.12, 5,103.84 and 1,182.39

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Solution

The fourth proportional to 3,404.12, 5,103.84 and 1,182.39 is: 1,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.12 : 5,103.84 = 1,182.39 : x
  2. Step 2: Convert to fraction form
    3,404.12/5,103.84 = 1,182.39/x
  3. Step 3: Cross multiply
    3,404.12x = 5,103.84 × 1,182.39
  4. Step 4: Simplify right side
    3,404.12x = 6,034,729.38
  5. Step 5: Solve for x
    x = 6,034,729.38/3,404.12
  6. Step 6: Final answer
    x = 1,772.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.