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Finding the Fourth Proportional to 3,394.76, 5,091.89 and 1,054.70

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Solution

The fourth proportional to 3,394.76, 5,091.89 and 1,054.70 is: 1,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.76 : 5,091.89 = 1,054.70 : x
  2. Step 2: Convert to fraction form
    3,394.76/5,091.89 = 1,054.70/x
  3. Step 3: Cross multiply
    3,394.76x = 5,091.89 × 1,054.70
  4. Step 4: Simplify right side
    3,394.76x = 5,370,385.65
  5. Step 5: Solve for x
    x = 5,370,385.65/3,394.76
  6. Step 6: Final answer
    x = 1,581.97

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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.