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Finding the Fourth Proportional to 7,057.92, 10,589.76 and 2,441.28

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Solution

The fourth proportional to 7,057.92, 10,589.76 and 2,441.28 is: 3,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.92 : 10,589.76 = 2,441.28 : x
  2. Step 2: Convert to fraction form
    7,057.92/10,589.76 = 2,441.28/x
  3. Step 3: Cross multiply
    7,057.92x = 10,589.76 × 2,441.28
  4. Step 4: Simplify right side
    7,057.92x = 25,852,569.29
  5. Step 5: Solve for x
    x = 25,852,569.29/7,057.92
  6. Step 6: Final answer
    x = 3,662.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.