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Finding the Fourth Proportional to 3,881.84, 5,356.99 and 2,113.45

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Solution

The fourth proportional to 3,881.84, 5,356.99 and 2,113.45 is: 2,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.84 : 5,356.99 = 2,113.45 : x
  2. Step 2: Convert to fraction form
    3,881.84/5,356.99 = 2,113.45/x
  3. Step 3: Cross multiply
    3,881.84x = 5,356.99 × 2,113.45
  4. Step 4: Simplify right side
    3,881.84x = 11,321,703.73
  5. Step 5: Solve for x
    x = 11,321,703.73/3,881.84
  6. Step 6: Final answer
    x = 2,916.58

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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.