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Finding the Fourth Proportional to 5,047.41, 6,965.56 and 2,809.16

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Solution

The fourth proportional to 5,047.41, 6,965.56 and 2,809.16 is: 3,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.41 : 6,965.56 = 2,809.16 : x
  2. Step 2: Convert to fraction form
    5,047.41/6,965.56 = 2,809.16/x
  3. Step 3: Cross multiply
    5,047.41x = 6,965.56 × 2,809.16
  4. Step 4: Simplify right side
    5,047.41x = 19,567,335.89
  5. Step 5: Solve for x
    x = 19,567,335.89/5,047.41
  6. Step 6: Final answer
    x = 3,876.71

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Why These Related Problems?

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