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Finding the Fourth Proportional to 5,171.96, 7,758.90 and 2,396.80

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Solution

The fourth proportional to 5,171.96, 7,758.90 and 2,396.80 is: 3,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.96 : 7,758.90 = 2,396.80 : x
  2. Step 2: Convert to fraction form
    5,171.96/7,758.90 = 2,396.80/x
  3. Step 3: Cross multiply
    5,171.96x = 7,758.90 × 2,396.80
  4. Step 4: Simplify right side
    5,171.96x = 18,596,531.52
  5. Step 5: Solve for x
    x = 18,596,531.52/5,171.96
  6. Step 6: Final answer
    x = 3,595.64

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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.