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Finding the Fourth Proportional to 4,140.69, 6,206.88 and 2,057.49

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Solution

The fourth proportional to 4,140.69, 6,206.88 and 2,057.49 is: 3,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.69 : 6,206.88 = 2,057.49 : x
  2. Step 2: Convert to fraction form
    4,140.69/6,206.88 = 2,057.49/x
  3. Step 3: Cross multiply
    4,140.69x = 6,206.88 × 2,057.49
  4. Step 4: Simplify right side
    4,140.69x = 12,770,593.53
  5. Step 5: Solve for x
    x = 12,770,593.53/4,140.69
  6. Step 6: Final answer
    x = 3,084.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.