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Finding the Fourth Proportional to 4,847.50, 6,689.82 and 2,859.22

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Solution

The fourth proportional to 4,847.50, 6,689.82 and 2,859.22 is: 3,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.50 : 6,689.82 = 2,859.22 : x
  2. Step 2: Convert to fraction form
    4,847.50/6,689.82 = 2,859.22/x
  3. Step 3: Cross multiply
    4,847.50x = 6,689.82 × 2,859.22
  4. Step 4: Simplify right side
    4,847.50x = 19,127,667.14
  5. Step 5: Solve for x
    x = 19,127,667.14/4,847.50
  6. Step 6: Final answer
    x = 3,945.88

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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.