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Finding the Fourth Proportional to 5,760.96, 8,641.28 and 2,062.16

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Solution

The fourth proportional to 5,760.96, 8,641.28 and 2,062.16 is: 3,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.96 : 8,641.28 = 2,062.16 : x
  2. Step 2: Convert to fraction form
    5,760.96/8,641.28 = 2,062.16/x
  3. Step 3: Cross multiply
    5,760.96x = 8,641.28 × 2,062.16
  4. Step 4: Simplify right side
    5,760.96x = 17,819,701.96
  5. Step 5: Solve for x
    x = 17,819,701.96/5,760.96
  6. Step 6: Final answer
    x = 3,093.18

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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.