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Finding the Fourth Proportional to 5,926.50, 8,888.40 and 2,229.12

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Solution

The fourth proportional to 5,926.50, 8,888.40 and 2,229.12 is: 3,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.50 : 8,888.40 = 2,229.12 : x
  2. Step 2: Convert to fraction form
    5,926.50/8,888.40 = 2,229.12/x
  3. Step 3: Cross multiply
    5,926.50x = 8,888.40 × 2,229.12
  4. Step 4: Simplify right side
    5,926.50x = 19,813,310.21
  5. Step 5: Solve for x
    x = 19,813,310.21/5,926.50
  6. Step 6: Final answer
    x = 3,343.17

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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.