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Finding the Fourth Proportional to 5,196.40, 7,169.82 and 3,207.04

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Solution

The fourth proportional to 5,196.40, 7,169.82 and 3,207.04 is: 4,424.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.40 : 7,169.82 = 3,207.04 : x
  2. Step 2: Convert to fraction form
    5,196.40/7,169.82 = 3,207.04/x
  3. Step 3: Cross multiply
    5,196.40x = 7,169.82 × 3,207.04
  4. Step 4: Simplify right side
    5,196.40x = 22,993,899.53
  5. Step 5: Solve for x
    x = 22,993,899.53/5,196.40
  6. Step 6: Final answer
    x = 4,424.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.