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Finding the Fourth Proportional to 3,968.46, 5,476.50 and 2,200.08

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Solution

The fourth proportional to 3,968.46, 5,476.50 and 2,200.08 is: 3,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.46 : 5,476.50 = 2,200.08 : x
  2. Step 2: Convert to fraction form
    3,968.46/5,476.50 = 2,200.08/x
  3. Step 3: Cross multiply
    3,968.46x = 5,476.50 × 2,200.08
  4. Step 4: Simplify right side
    3,968.46x = 12,048,738.12
  5. Step 5: Solve for x
    x = 12,048,738.12/3,968.46
  6. Step 6: Final answer
    x = 3,036.12

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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.