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Finding the Fourth Proportional to 4,102.04, 5,661.06 and 3,105.74

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Solution

The fourth proportional to 4,102.04, 5,661.06 and 3,105.74 is: 4,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.04 : 5,661.06 = 3,105.74 : x
  2. Step 2: Convert to fraction form
    4,102.04/5,661.06 = 3,105.74/x
  3. Step 3: Cross multiply
    4,102.04x = 5,661.06 × 3,105.74
  4. Step 4: Simplify right side
    4,102.04x = 17,581,780.48
  5. Step 5: Solve for x
    x = 17,581,780.48/4,102.04
  6. Step 6: Final answer
    x = 4,286.11

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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.