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Finding the Fourth Proportional to 5,227.16, 7,843.90 and 4,898.84

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Solution

The fourth proportional to 5,227.16, 7,843.90 and 4,898.84 is: 7,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.16 : 7,843.90 = 4,898.84 : x
  2. Step 2: Convert to fraction form
    5,227.16/7,843.90 = 4,898.84/x
  3. Step 3: Cross multiply
    5,227.16x = 7,843.90 × 4,898.84
  4. Step 4: Simplify right side
    5,227.16x = 38,426,011.08
  5. Step 5: Solve for x
    x = 38,426,011.08/5,227.16
  6. Step 6: Final answer
    x = 7,351.22

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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.