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Finding the Fourth Proportional to 3,477.20, 5,206.20 and 3,304.40

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Solution

The fourth proportional to 3,477.20, 5,206.20 and 3,304.40 is: 4,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.20 : 5,206.20 = 3,304.40 : x
  2. Step 2: Convert to fraction form
    3,477.20/5,206.20 = 3,304.40/x
  3. Step 3: Cross multiply
    3,477.20x = 5,206.20 × 3,304.40
  4. Step 4: Simplify right side
    3,477.20x = 17,203,367.28
  5. Step 5: Solve for x
    x = 17,203,367.28/3,477.20
  6. Step 6: Final answer
    x = 4,947.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.