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Finding the Fourth Proportional to 3,426.77, 4,728.71 and 2,029.25

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Solution

The fourth proportional to 3,426.77, 4,728.71 and 2,029.25 is: 2,800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.77 : 4,728.71 = 2,029.25 : x
  2. Step 2: Convert to fraction form
    3,426.77/4,728.71 = 2,029.25/x
  3. Step 3: Cross multiply
    3,426.77x = 4,728.71 × 2,029.25
  4. Step 4: Simplify right side
    3,426.77x = 9,595,724.62
  5. Step 5: Solve for x
    x = 9,595,724.62/3,426.77
  6. Step 6: Final answer
    x = 2,800.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.