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Finding the Fourth Proportional to 5,760.68, 8,641.19 and 1,601.00

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Solution

The fourth proportional to 5,760.68, 8,641.19 and 1,601.00 is: 2,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.68 : 8,641.19 = 1,601.00 : x
  2. Step 2: Convert to fraction form
    5,760.68/8,641.19 = 1,601.00/x
  3. Step 3: Cross multiply
    5,760.68x = 8,641.19 × 1,601.00
  4. Step 4: Simplify right side
    5,760.68x = 13,834,493.98
  5. Step 5: Solve for x
    x = 13,834,493.98/5,760.68
  6. Step 6: Final answer
    x = 2,401.54

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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.