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Finding the Fourth Proportional to 5,699.28, 7,864.92 and 3,215.28

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Solution

The fourth proportional to 5,699.28, 7,864.92 and 3,215.28 is: 4,437.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.28 : 7,864.92 = 3,215.28 : x
  2. Step 2: Convert to fraction form
    5,699.28/7,864.92 = 3,215.28/x
  3. Step 3: Cross multiply
    5,699.28x = 7,864.92 × 3,215.28
  4. Step 4: Simplify right side
    5,699.28x = 25,287,919.98
  5. Step 5: Solve for x
    x = 25,287,919.98/5,699.28
  6. Step 6: Final answer
    x = 4,437.04

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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.