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Finding the Fourth Proportional to 3,346.62, 5,020.36 and 1,154.76

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Solution

The fourth proportional to 3,346.62, 5,020.36 and 1,154.76 is: 1,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.62 : 5,020.36 = 1,154.76 : x
  2. Step 2: Convert to fraction form
    3,346.62/5,020.36 = 1,154.76/x
  3. Step 3: Cross multiply
    3,346.62x = 5,020.36 × 1,154.76
  4. Step 4: Simplify right side
    3,346.62x = 5,797,310.91
  5. Step 5: Solve for x
    x = 5,797,310.91/3,346.62
  6. Step 6: Final answer
    x = 1,732.29

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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.