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Finding the Fourth Proportional to 3,969.66, 5,478.08 and 2,201.30

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Solution

The fourth proportional to 3,969.66, 5,478.08 and 2,201.30 is: 3,037.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.66 : 5,478.08 = 2,201.30 : x
  2. Step 2: Convert to fraction form
    3,969.66/5,478.08 = 2,201.30/x
  3. Step 3: Cross multiply
    3,969.66x = 5,478.08 × 2,201.30
  4. Step 4: Simplify right side
    3,969.66x = 12,058,897.50
  5. Step 5: Solve for x
    x = 12,058,897.50/3,969.66
  6. Step 6: Final answer
    x = 3,037.77

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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.