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Finding the Fourth Proportional to 4,102.66, 5,661.90 and 3,106.36

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Solution

The fourth proportional to 4,102.66, 5,661.90 and 3,106.36 is: 4,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.66 : 5,661.90 = 3,106.36 : x
  2. Step 2: Convert to fraction form
    4,102.66/5,661.90 = 3,106.36/x
  3. Step 3: Cross multiply
    4,102.66x = 5,661.90 × 3,106.36
  4. Step 4: Simplify right side
    4,102.66x = 17,587,899.68
  5. Step 5: Solve for x
    x = 17,587,899.68/4,102.66
  6. Step 6: Final answer
    x = 4,286.95

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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.