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Finding the Fourth Proportional to 5,190.60, 7,788.60 and 2,269.20

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Solution

The fourth proportional to 5,190.60, 7,788.60 and 2,269.20 is: 3,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.60 : 7,788.60 = 2,269.20 : x
  2. Step 2: Convert to fraction form
    5,190.60/7,788.60 = 2,269.20/x
  3. Step 3: Cross multiply
    5,190.60x = 7,788.60 × 2,269.20
  4. Step 4: Simplify right side
    5,190.60x = 17,673,891.12
  5. Step 5: Solve for x
    x = 17,673,891.12/5,190.60
  6. Step 6: Final answer
    x = 3,404.98

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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.