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Finding the Fourth Proportional to 5,410.31, 7,461.05 and 3,286.18

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Solution

The fourth proportional to 5,410.31, 7,461.05 and 3,286.18 is: 4,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.31 : 7,461.05 = 3,286.18 : x
  2. Step 2: Convert to fraction form
    5,410.31/7,461.05 = 3,286.18/x
  3. Step 3: Cross multiply
    5,410.31x = 7,461.05 × 3,286.18
  4. Step 4: Simplify right side
    5,410.31x = 24,518,346.18
  5. Step 5: Solve for x
    x = 24,518,346.18/5,410.31
  6. Step 6: Final answer
    x = 4,531.79

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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.