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Finding the Fourth Proportional to 3,523.84, 4,863.90 and 2,126.68

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Solution

The fourth proportional to 3,523.84, 4,863.90 and 2,126.68 is: 2,935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.84 : 4,863.90 = 2,126.68 : x
  2. Step 2: Convert to fraction form
    3,523.84/4,863.90 = 2,126.68/x
  3. Step 3: Cross multiply
    3,523.84x = 4,863.90 × 2,126.68
  4. Step 4: Simplify right side
    3,523.84x = 10,343,958.85
  5. Step 5: Solve for x
    x = 10,343,958.85/3,523.84
  6. Step 6: Final answer
    x = 2,935.42

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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.