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Finding the Fourth Proportional to 5,221.85, 7,205.90 and 2,864.03

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Solution

The fourth proportional to 5,221.85, 7,205.90 and 2,864.03 is: 3,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.85 : 7,205.90 = 2,864.03 : x
  2. Step 2: Convert to fraction form
    5,221.85/7,205.90 = 2,864.03/x
  3. Step 3: Cross multiply
    5,221.85x = 7,205.90 × 2,864.03
  4. Step 4: Simplify right side
    5,221.85x = 20,637,863.43
  5. Step 5: Solve for x
    x = 20,637,863.43/5,221.85
  6. Step 6: Final answer
    x = 3,952.22

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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.