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Finding the Fourth Proportional to 3,185.97, 4,397.57 and 2,125.28

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Solution

The fourth proportional to 3,185.97, 4,397.57 and 2,125.28 is: 2,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.97 : 4,397.57 = 2,125.28 : x
  2. Step 2: Convert to fraction form
    3,185.97/4,397.57 = 2,125.28/x
  3. Step 3: Cross multiply
    3,185.97x = 4,397.57 × 2,125.28
  4. Step 4: Simplify right side
    3,185.97x = 9,346,034.96
  5. Step 5: Solve for x
    x = 9,346,034.96/3,185.97
  6. Step 6: Final answer
    x = 2,933.50

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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.