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Finding the Fourth Proportional to 3,468.97, 5,197.96 and 2,816.51

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Solution

The fourth proportional to 3,468.97, 5,197.96 and 2,816.51 is: 4,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.97 : 5,197.96 = 2,816.51 : x
  2. Step 2: Convert to fraction form
    3,468.97/5,197.96 = 2,816.51/x
  3. Step 3: Cross multiply
    3,468.97x = 5,197.96 × 2,816.51
  4. Step 4: Simplify right side
    3,468.97x = 14,640,106.32
  5. Step 5: Solve for x
    x = 14,640,106.32/3,468.97
  6. Step 6: Final answer
    x = 4,220.30

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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.