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Finding the Fourth Proportional to 3,402.71, 5,103.52 and 1,323.67

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Solution

The fourth proportional to 3,402.71, 5,103.52 and 1,323.67 is: 1,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.71 : 5,103.52 = 1,323.67 : x
  2. Step 2: Convert to fraction form
    3,402.71/5,103.52 = 1,323.67/x
  3. Step 3: Cross multiply
    3,402.71x = 5,103.52 × 1,323.67
  4. Step 4: Simplify right side
    3,402.71x = 6,755,350.80
  5. Step 5: Solve for x
    x = 6,755,350.80/3,402.71
  6. Step 6: Final answer
    x = 1,985.29

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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.