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Finding the Fourth Proportional to 3,448.97, 4,758.86 and 2,188.55

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Solution

The fourth proportional to 3,448.97, 4,758.86 and 2,188.55 is: 3,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.97 : 4,758.86 = 2,188.55 : x
  2. Step 2: Convert to fraction form
    3,448.97/4,758.86 = 2,188.55/x
  3. Step 3: Cross multiply
    3,448.97x = 4,758.86 × 2,188.55
  4. Step 4: Simplify right side
    3,448.97x = 10,415,003.05
  5. Step 5: Solve for x
    x = 10,415,003.05/3,448.97
  6. Step 6: Final answer
    x = 3,019.74

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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.