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Finding the Fourth Proportional to 5,221.95, 7,206.21 and 2,864.18

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Solution

The fourth proportional to 5,221.95, 7,206.21 and 2,864.18 is: 3,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.95 : 7,206.21 = 2,864.18 : x
  2. Step 2: Convert to fraction form
    5,221.95/7,206.21 = 2,864.18/x
  3. Step 3: Cross multiply
    5,221.95x = 7,206.21 × 2,864.18
  4. Step 4: Simplify right side
    5,221.95x = 20,639,846.53
  5. Step 5: Solve for x
    x = 20,639,846.53/5,221.95
  6. Step 6: Final answer
    x = 3,952.52

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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.