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Finding the Fourth Proportional to 4,821.84, 7,227.81 and 2,353.62

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Solution

The fourth proportional to 4,821.84, 7,227.81 and 2,353.62 is: 3,528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.84 : 7,227.81 = 2,353.62 : x
  2. Step 2: Convert to fraction form
    4,821.84/7,227.81 = 2,353.62/x
  3. Step 3: Cross multiply
    4,821.84x = 7,227.81 × 2,353.62
  4. Step 4: Simplify right side
    4,821.84x = 17,011,545.28
  5. Step 5: Solve for x
    x = 17,011,545.28/4,821.84
  6. Step 6: Final answer
    x = 3,528.02

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Why These Related Problems?

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