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Finding the Fourth Proportional to 5,643.84, 8,456.13 and 3,997.65

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Solution

The fourth proportional to 5,643.84, 8,456.13 and 3,997.65 is: 5,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.84 : 8,456.13 = 3,997.65 : x
  2. Step 2: Convert to fraction form
    5,643.84/8,456.13 = 3,997.65/x
  3. Step 3: Cross multiply
    5,643.84x = 8,456.13 × 3,997.65
  4. Step 4: Simplify right side
    5,643.84x = 33,804,648.09
  5. Step 5: Solve for x
    x = 33,804,648.09/5,643.84
  6. Step 6: Final answer
    x = 5,989.65

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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.