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Finding the Fourth Proportional to 3,971.46, 5,926.35 and 3,446.58

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Solution

The fourth proportional to 3,971.46, 5,926.35 and 3,446.58 is: 5,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.46 : 5,926.35 = 3,446.58 : x
  2. Step 2: Convert to fraction form
    3,971.46/5,926.35 = 3,446.58/x
  3. Step 3: Cross multiply
    3,971.46x = 5,926.35 × 3,446.58
  4. Step 4: Simplify right side
    3,971.46x = 20,425,639.38
  5. Step 5: Solve for x
    x = 20,425,639.38/3,971.46
  6. Step 6: Final answer
    x = 5,143.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.