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Finding the Fourth Proportional to 3,382.57, 4,670.07 and 2,206.99

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Solution

The fourth proportional to 3,382.57, 4,670.07 and 2,206.99 is: 3,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.57 : 4,670.07 = 2,206.99 : x
  2. Step 2: Convert to fraction form
    3,382.57/4,670.07 = 2,206.99/x
  3. Step 3: Cross multiply
    3,382.57x = 4,670.07 × 2,206.99
  4. Step 4: Simplify right side
    3,382.57x = 10,306,797.79
  5. Step 5: Solve for x
    x = 10,306,797.79/3,382.57
  6. Step 6: Final answer
    x = 3,047.03

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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.