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Finding the Fourth Proportional to 3,394.11, 5,092.92 and 1,315.50

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Solution

The fourth proportional to 3,394.11, 5,092.92 and 1,315.50 is: 1,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.11 : 5,092.92 = 1,315.50 : x
  2. Step 2: Convert to fraction form
    3,394.11/5,092.92 = 1,315.50/x
  3. Step 3: Cross multiply
    3,394.11x = 5,092.92 × 1,315.50
  4. Step 4: Simplify right side
    3,394.11x = 6,699,736.26
  5. Step 5: Solve for x
    x = 6,699,736.26/3,394.11
  6. Step 6: Final answer
    x = 1,973.93

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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.