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Finding the Fourth Proportional to 5,190.50, 7,788.18 and 2,269.64

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Solution

The fourth proportional to 5,190.50, 7,788.18 and 2,269.64 is: 3,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.50 : 7,788.18 = 2,269.64 : x
  2. Step 2: Convert to fraction form
    5,190.50/7,788.18 = 2,269.64/x
  3. Step 3: Cross multiply
    5,190.50x = 7,788.18 × 2,269.64
  4. Step 4: Simplify right side
    5,190.50x = 17,676,364.86
  5. Step 5: Solve for x
    x = 17,676,364.86/5,190.50
  6. Step 6: Final answer
    x = 3,405.52

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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.