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Finding the Fourth Proportional to 3,881.85, 5,356.89 and 2,113.50

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Solution

The fourth proportional to 3,881.85, 5,356.89 and 2,113.50 is: 2,916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.85 : 5,356.89 = 2,113.50 : x
  2. Step 2: Convert to fraction form
    3,881.85/5,356.89 = 2,113.50/x
  3. Step 3: Cross multiply
    3,881.85x = 5,356.89 × 2,113.50
  4. Step 4: Simplify right side
    3,881.85x = 11,321,787.02
  5. Step 5: Solve for x
    x = 11,321,787.02/3,881.85
  6. Step 6: Final answer
    x = 2,916.60

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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.