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Finding the Fourth Proportional to 3,969.95, 5,478.42 and 2,177.40

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Solution

The fourth proportional to 3,969.95, 5,478.42 and 2,177.40 is: 3,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.95 : 5,478.42 = 2,177.40 : x
  2. Step 2: Convert to fraction form
    3,969.95/5,478.42 = 2,177.40/x
  3. Step 3: Cross multiply
    3,969.95x = 5,478.42 × 2,177.40
  4. Step 4: Simplify right side
    3,969.95x = 11,928,698.01
  5. Step 5: Solve for x
    x = 11,928,698.01/3,969.95
  6. Step 6: Final answer
    x = 3,004.75

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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.