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Finding the Fourth Proportional to 5,034.09, 6,945.42 and 2,909.34

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Solution

The fourth proportional to 5,034.09, 6,945.42 and 2,909.34 is: 4,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.09 : 6,945.42 = 2,909.34 : x
  2. Step 2: Convert to fraction form
    5,034.09/6,945.42 = 2,909.34/x
  3. Step 3: Cross multiply
    5,034.09x = 6,945.42 × 2,909.34
  4. Step 4: Simplify right side
    5,034.09x = 20,206,588.22
  5. Step 5: Solve for x
    x = 20,206,588.22/5,034.09
  6. Step 6: Final answer
    x = 4,013.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.