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Finding the Fourth Proportional to 5,532.96, 8,291.70 and 4,294.65

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Solution

The fourth proportional to 5,532.96, 8,291.70 and 4,294.65 is: 6,435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.96 : 8,291.70 = 4,294.65 : x
  2. Step 2: Convert to fraction form
    5,532.96/8,291.70 = 4,294.65/x
  3. Step 3: Cross multiply
    5,532.96x = 8,291.70 × 4,294.65
  4. Step 4: Simplify right side
    5,532.96x = 35,609,949.41
  5. Step 5: Solve for x
    x = 35,609,949.41/5,532.96
  6. Step 6: Final answer
    x = 6,435.97

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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.