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Finding the Fourth Proportional to 3,394.12, 5,091.50 and 1,054.15

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Solution

The fourth proportional to 3,394.12, 5,091.50 and 1,054.15 is: 1,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.12 : 5,091.50 = 1,054.15 : x
  2. Step 2: Convert to fraction form
    3,394.12/5,091.50 = 1,054.15/x
  3. Step 3: Cross multiply
    3,394.12x = 5,091.50 × 1,054.15
  4. Step 4: Simplify right side
    3,394.12x = 5,367,204.73
  5. Step 5: Solve for x
    x = 5,367,204.73/3,394.12
  6. Step 6: Final answer
    x = 1,581.32

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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.