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Finding the Fourth Proportional to 3,385.26, 5,073.84 and 1,922.40

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Solution

The fourth proportional to 3,385.26, 5,073.84 and 1,922.40 is: 2,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.26 : 5,073.84 = 1,922.40 : x
  2. Step 2: Convert to fraction form
    3,385.26/5,073.84 = 1,922.40/x
  3. Step 3: Cross multiply
    3,385.26x = 5,073.84 × 1,922.40
  4. Step 4: Simplify right side
    3,385.26x = 9,753,950.02
  5. Step 5: Solve for x
    x = 9,753,950.02/3,385.26
  6. Step 6: Final answer
    x = 2,881.30

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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.