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Finding the Fourth Proportional to 3,971.81, 5,481 and 2,293.22

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Solution

The fourth proportional to 3,971.81, 5,481 and 2,293.22 is: 3,164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.81 : 5,481 = 2,293.22 : x
  2. Step 2: Convert to fraction form
    3,971.81/5,481 = 2,293.22/x
  3. Step 3: Cross multiply
    3,971.81x = 5,481 × 2,293.22
  4. Step 4: Simplify right side
    3,971.81x = 12,569,111.42
  5. Step 5: Solve for x
    x = 12,569,111.42/3,971.81
  6. Step 6: Final answer
    x = 3,164.58

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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.