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Finding the Fourth Proportional to 3,400.32, 5,101.20 and 1,092

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Solution

The fourth proportional to 3,400.32, 5,101.20 and 1,092 is: 1,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.32 : 5,101.20 = 1,092 : x
  2. Step 2: Convert to fraction form
    3,400.32/5,101.20 = 1,092/x
  3. Step 3: Cross multiply
    3,400.32x = 5,101.20 × 1,092
  4. Step 4: Simplify right side
    3,400.32x = 5,570,510.40
  5. Step 5: Solve for x
    x = 5,570,510.40/3,400.32
  6. Step 6: Final answer
    x = 1,638.23

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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.