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Finding the Fourth Proportional to 5,047.50, 6,965.46 and 2,809.27

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Solution

The fourth proportional to 5,047.50, 6,965.46 and 2,809.27 is: 3,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.50 : 6,965.46 = 2,809.27 : x
  2. Step 2: Convert to fraction form
    5,047.50/6,965.46 = 2,809.27/x
  3. Step 3: Cross multiply
    5,047.50x = 6,965.46 × 2,809.27
  4. Step 4: Simplify right side
    5,047.50x = 19,567,857.81
  5. Step 5: Solve for x
    x = 19,567,857.81/5,047.50
  6. Step 6: Final answer
    x = 3,876.74

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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.