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Finding the Fourth Proportional to 5,463.80, 8,217.30 and 4,902.20

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Solution

The fourth proportional to 5,463.80, 8,217.30 and 4,902.20 is: 7,372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.80 : 8,217.30 = 4,902.20 : x
  2. Step 2: Convert to fraction form
    5,463.80/8,217.30 = 4,902.20/x
  3. Step 3: Cross multiply
    5,463.80x = 8,217.30 × 4,902.20
  4. Step 4: Simplify right side
    5,463.80x = 40,282,848.06
  5. Step 5: Solve for x
    x = 40,282,848.06/5,463.80
  6. Step 6: Final answer
    x = 7,372.68

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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.