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Finding the Fourth Proportional to 3,969.30, 5,477.22 and 2,200.86

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Solution

The fourth proportional to 3,969.30, 5,477.22 and 2,200.86 is: 3,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.30 : 5,477.22 = 2,200.86 : x
  2. Step 2: Convert to fraction form
    3,969.30/5,477.22 = 2,200.86/x
  3. Step 3: Cross multiply
    3,969.30x = 5,477.22 × 2,200.86
  4. Step 4: Simplify right side
    3,969.30x = 12,054,594.41
  5. Step 5: Solve for x
    x = 12,054,594.41/3,969.30
  6. Step 6: Final answer
    x = 3,036.96

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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.