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Finding the Fourth Proportional to 3,421.67, 5,132.52 and 1,230.41

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Solution

The fourth proportional to 3,421.67, 5,132.52 and 1,230.41 is: 1,845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.67 : 5,132.52 = 1,230.41 : x
  2. Step 2: Convert to fraction form
    3,421.67/5,132.52 = 1,230.41/x
  3. Step 3: Cross multiply
    3,421.67x = 5,132.52 × 1,230.41
  4. Step 4: Simplify right side
    3,421.67x = 6,315,103.93
  5. Step 5: Solve for x
    x = 6,315,103.93/3,421.67
  6. Step 6: Final answer
    x = 1,845.62

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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.