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Finding the Fourth Proportional to 3,874.62, 5,347.16 and 2,196.09

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Solution

The fourth proportional to 3,874.62, 5,347.16 and 2,196.09 is: 3,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.62 : 5,347.16 = 2,196.09 : x
  2. Step 2: Convert to fraction form
    3,874.62/5,347.16 = 2,196.09/x
  3. Step 3: Cross multiply
    3,874.62x = 5,347.16 × 2,196.09
  4. Step 4: Simplify right side
    3,874.62x = 11,742,833.62
  5. Step 5: Solve for x
    x = 11,742,833.62/3,874.62
  6. Step 6: Final answer
    x = 3,030.71

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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.