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Finding the Fourth Proportional to 5,469.84, 8,207.52 and 2,185.26

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Solution

The fourth proportional to 5,469.84, 8,207.52 and 2,185.26 is: 3,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.84 : 8,207.52 = 2,185.26 : x
  2. Step 2: Convert to fraction form
    5,469.84/8,207.52 = 2,185.26/x
  3. Step 3: Cross multiply
    5,469.84x = 8,207.52 × 2,185.26
  4. Step 4: Simplify right side
    5,469.84x = 17,935,565.16
  5. Step 5: Solve for x
    x = 17,935,565.16/5,469.84
  6. Step 6: Final answer
    x = 3,278.99

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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.