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Finding the Fourth Proportional to 3,565.20, 5,346.16 and 2,743.98

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Solution

The fourth proportional to 3,565.20, 5,346.16 and 2,743.98 is: 4,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.20 : 5,346.16 = 2,743.98 : x
  2. Step 2: Convert to fraction form
    3,565.20/5,346.16 = 2,743.98/x
  3. Step 3: Cross multiply
    3,565.20x = 5,346.16 × 2,743.98
  4. Step 4: Simplify right side
    3,565.20x = 14,669,756.12
  5. Step 5: Solve for x
    x = 14,669,756.12/3,565.20
  6. Step 6: Final answer
    x = 4,114.71

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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.