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Finding the Fourth Proportional to 5,679.69, 8,510.40 and 3,207.17

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Solution

The fourth proportional to 5,679.69, 8,510.40 and 3,207.17 is: 4,805.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.69 : 8,510.40 = 3,207.17 : x
  2. Step 2: Convert to fraction form
    5,679.69/8,510.40 = 3,207.17/x
  3. Step 3: Cross multiply
    5,679.69x = 8,510.40 × 3,207.17
  4. Step 4: Simplify right side
    5,679.69x = 27,294,257.02
  5. Step 5: Solve for x
    x = 27,294,257.02/5,679.69
  6. Step 6: Final answer
    x = 4,805.59

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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.