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Finding the Fourth Proportional to 3,400.94, 5,101.88 and 1,061.12

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Solution

The fourth proportional to 3,400.94, 5,101.88 and 1,061.12 is: 1,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.94 : 5,101.88 = 1,061.12 : x
  2. Step 2: Convert to fraction form
    3,400.94/5,101.88 = 1,061.12/x
  3. Step 3: Cross multiply
    3,400.94x = 5,101.88 × 1,061.12
  4. Step 4: Simplify right side
    3,400.94x = 5,413,676.09
  5. Step 5: Solve for x
    x = 5,413,676.09/3,400.94
  6. Step 6: Final answer
    x = 1,591.82

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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.