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Finding the Fourth Proportional to 5,760.96, 8,641.49 and 1,601.29

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Solution

The fourth proportional to 5,760.96, 8,641.49 and 1,601.29 is: 2,401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.96 : 8,641.49 = 1,601.29 : x
  2. Step 2: Convert to fraction form
    5,760.96/8,641.49 = 1,601.29/x
  3. Step 3: Cross multiply
    5,760.96x = 8,641.49 × 1,601.29
  4. Step 4: Simplify right side
    5,760.96x = 13,837,534.32
  5. Step 5: Solve for x
    x = 13,837,534.32/5,760.96
  6. Step 6: Final answer
    x = 2,401.95

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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.