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Finding the Fourth Proportional to 4,202.28, 6,306.24 and 1,466.28

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Solution

The fourth proportional to 4,202.28, 6,306.24 and 1,466.28 is: 2,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.28 : 6,306.24 = 1,466.28 : x
  2. Step 2: Convert to fraction form
    4,202.28/6,306.24 = 1,466.28/x
  3. Step 3: Cross multiply
    4,202.28x = 6,306.24 × 1,466.28
  4. Step 4: Simplify right side
    4,202.28x = 9,246,713.59
  5. Step 5: Solve for x
    x = 9,246,713.59/4,202.28
  6. Step 6: Final answer
    x = 2,200.40

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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.