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Finding the Fourth Proportional to 3,540.64, 5,311.60 and 1,593.76

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Solution

The fourth proportional to 3,540.64, 5,311.60 and 1,593.76 is: 2,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.64 : 5,311.60 = 1,593.76 : x
  2. Step 2: Convert to fraction form
    3,540.64/5,311.60 = 1,593.76/x
  3. Step 3: Cross multiply
    3,540.64x = 5,311.60 × 1,593.76
  4. Step 4: Simplify right side
    3,540.64x = 8,465,415.62
  5. Step 5: Solve for x
    x = 8,465,415.62/3,540.64
  6. Step 6: Final answer
    x = 2,390.93

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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.