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Finding the Fourth Proportional to 3,968.54, 5,476.65 and 2,200.22

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Solution

The fourth proportional to 3,968.54, 5,476.65 and 2,200.22 is: 3,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.54 : 5,476.65 = 2,200.22 : x
  2. Step 2: Convert to fraction form
    3,968.54/5,476.65 = 2,200.22/x
  3. Step 3: Cross multiply
    3,968.54x = 5,476.65 × 2,200.22
  4. Step 4: Simplify right side
    3,968.54x = 12,049,834.86
  5. Step 5: Solve for x
    x = 12,049,834.86/3,968.54
  6. Step 6: Final answer
    x = 3,036.34

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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.