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Finding the Fourth Proportional to 5,761.86, 8,643 and 1,601.94

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Solution

The fourth proportional to 5,761.86, 8,643 and 1,601.94 is: 2,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.86 : 8,643 = 1,601.94 : x
  2. Step 2: Convert to fraction form
    5,761.86/8,643 = 1,601.94/x
  3. Step 3: Cross multiply
    5,761.86x = 8,643 × 1,601.94
  4. Step 4: Simplify right side
    5,761.86x = 13,845,567.42
  5. Step 5: Solve for x
    x = 13,845,567.42/5,761.86
  6. Step 6: Final answer
    x = 2,402.97

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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.