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Finding the Fourth Proportional to 5,440.86, 7,508.21 and 3,202.72

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Solution

The fourth proportional to 5,440.86, 7,508.21 and 3,202.72 is: 4,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.86 : 7,508.21 = 3,202.72 : x
  2. Step 2: Convert to fraction form
    5,440.86/7,508.21 = 3,202.72/x
  3. Step 3: Cross multiply
    5,440.86x = 7,508.21 × 3,202.72
  4. Step 4: Simplify right side
    5,440.86x = 24,046,659.55
  5. Step 5: Solve for x
    x = 24,046,659.55/5,440.86
  6. Step 6: Final answer
    x = 4,419.64

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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.