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Finding the Fourth Proportional to 4,215.92, 5,816.22 and 2,641.28

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Solution

The fourth proportional to 4,215.92, 5,816.22 and 2,641.28 is: 3,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.92 : 5,816.22 = 2,641.28 : x
  2. Step 2: Convert to fraction form
    4,215.92/5,816.22 = 2,641.28/x
  3. Step 3: Cross multiply
    4,215.92x = 5,816.22 × 2,641.28
  4. Step 4: Simplify right side
    4,215.92x = 15,362,265.56
  5. Step 5: Solve for x
    x = 15,362,265.56/4,215.92
  6. Step 6: Final answer
    x = 3,643.87

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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.