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Finding the Fourth Proportional to 5,047.86, 6,965.82 and 2,809.56

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Solution

The fourth proportional to 5,047.86, 6,965.82 and 2,809.56 is: 3,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.86 : 6,965.82 = 2,809.56 : x
  2. Step 2: Convert to fraction form
    5,047.86/6,965.82 = 2,809.56/x
  3. Step 3: Cross multiply
    5,047.86x = 6,965.82 × 2,809.56
  4. Step 4: Simplify right side
    5,047.86x = 19,570,889.24
  5. Step 5: Solve for x
    x = 19,570,889.24/5,047.86
  6. Step 6: Final answer
    x = 3,877.07

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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.