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Finding the Fourth Proportional to 3,384.57, 5,073.39 and 1,920.63

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Solution

The fourth proportional to 3,384.57, 5,073.39 and 1,920.63 is: 2,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384.57 : 5,073.39 = 1,920.63 : x
  2. Step 2: Convert to fraction form
    3,384.57/5,073.39 = 1,920.63/x
  3. Step 3: Cross multiply
    3,384.57x = 5,073.39 × 1,920.63
  4. Step 4: Simplify right side
    3,384.57x = 9,744,105.04
  5. Step 5: Solve for x
    x = 9,744,105.04/3,384.57
  6. Step 6: Final answer
    x = 2,878.98

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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.