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Finding the Fourth Proportional to 3,724.84, 5,136.02 and 2,378.62

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Solution

The fourth proportional to 3,724.84, 5,136.02 and 2,378.62 is: 3,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.84 : 5,136.02 = 2,378.62 : x
  2. Step 2: Convert to fraction form
    3,724.84/5,136.02 = 2,378.62/x
  3. Step 3: Cross multiply
    3,724.84x = 5,136.02 × 2,378.62
  4. Step 4: Simplify right side
    3,724.84x = 12,216,639.89
  5. Step 5: Solve for x
    x = 12,216,639.89/3,724.84
  6. Step 6: Final answer
    x = 3,279.78

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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.