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Finding the Fourth Proportional to 3,881.81, 5,356.92 and 2,113.42

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Solution

The fourth proportional to 3,881.81, 5,356.92 and 2,113.42 is: 2,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.81 : 5,356.92 = 2,113.42 : x
  2. Step 2: Convert to fraction form
    3,881.81/5,356.92 = 2,113.42/x
  3. Step 3: Cross multiply
    3,881.81x = 5,356.92 × 2,113.42
  4. Step 4: Simplify right side
    3,881.81x = 11,321,384.51
  5. Step 5: Solve for x
    x = 11,321,384.51/3,881.81
  6. Step 6: Final answer
    x = 2,916.53

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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.