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Finding the Fourth Proportional to 4,202.80, 6,304.20 and 3,546.70

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Solution

The fourth proportional to 4,202.80, 6,304.20 and 3,546.70 is: 5,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.80 : 6,304.20 = 3,546.70 : x
  2. Step 2: Convert to fraction form
    4,202.80/6,304.20 = 3,546.70/x
  3. Step 3: Cross multiply
    4,202.80x = 6,304.20 × 3,546.70
  4. Step 4: Simplify right side
    4,202.80x = 22,359,106.14
  5. Step 5: Solve for x
    x = 22,359,106.14/4,202.80
  6. Step 6: Final answer
    x = 5,320.05

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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.