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Finding the Fourth Proportional to 3,679.42, 5,076.57 and 3,494.74

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Solution

The fourth proportional to 3,679.42, 5,076.57 and 3,494.74 is: 4,821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.42 : 5,076.57 = 3,494.74 : x
  2. Step 2: Convert to fraction form
    3,679.42/5,076.57 = 3,494.74/x
  3. Step 3: Cross multiply
    3,679.42x = 5,076.57 × 3,494.74
  4. Step 4: Simplify right side
    3,679.42x = 17,741,292.24
  5. Step 5: Solve for x
    x = 17,741,292.24/3,679.42
  6. Step 6: Final answer
    x = 4,821.76

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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.