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Finding the Fourth Proportional to 5,500.64, 7,589 and 3,141.12

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Solution

The fourth proportional to 5,500.64, 7,589 and 3,141.12 is: 4,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.64 : 7,589 = 3,141.12 : x
  2. Step 2: Convert to fraction form
    5,500.64/7,589 = 3,141.12/x
  3. Step 3: Cross multiply
    5,500.64x = 7,589 × 3,141.12
  4. Step 4: Simplify right side
    5,500.64x = 23,837,959.68
  5. Step 5: Solve for x
    x = 23,837,959.68/5,500.64
  6. Step 6: Final answer
    x = 4,333.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.