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Finding the Fourth Proportional to 3,188.97, 4,401.70 and 2,128.28

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Solution

The fourth proportional to 3,188.97, 4,401.70 and 2,128.28 is: 2,937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.97 : 4,401.70 = 2,128.28 : x
  2. Step 2: Convert to fraction form
    3,188.97/4,401.70 = 2,128.28/x
  3. Step 3: Cross multiply
    3,188.97x = 4,401.70 × 2,128.28
  4. Step 4: Simplify right side
    3,188.97x = 9,368,022.75
  5. Step 5: Solve for x
    x = 9,368,022.75/3,188.97
  6. Step 6: Final answer
    x = 2,937.63

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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.