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Finding the Fourth Proportional to 3,869.84, 5,338.36 and 2,378.09

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Solution

The fourth proportional to 3,869.84, 5,338.36 and 2,378.09 is: 3,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.84 : 5,338.36 = 2,378.09 : x
  2. Step 2: Convert to fraction form
    3,869.84/5,338.36 = 2,378.09/x
  3. Step 3: Cross multiply
    3,869.84x = 5,338.36 × 2,378.09
  4. Step 4: Simplify right side
    3,869.84x = 12,695,100.53
  5. Step 5: Solve for x
    x = 12,695,100.53/3,869.84
  6. Step 6: Final answer
    x = 3,280.52

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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.