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Finding the Fourth Proportional to 5,047.65, 6,965.39 and 2,809.47

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Solution

The fourth proportional to 5,047.65, 6,965.39 and 2,809.47 is: 3,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.65 : 6,965.39 = 2,809.47 : x
  2. Step 2: Convert to fraction form
    5,047.65/6,965.39 = 2,809.47/x
  3. Step 3: Cross multiply
    5,047.65x = 6,965.39 × 2,809.47
  4. Step 4: Simplify right side
    5,047.65x = 19,569,040.20
  5. Step 5: Solve for x
    x = 19,569,040.20/5,047.65
  6. Step 6: Final answer
    x = 3,876.86

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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.