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Finding the Fourth Proportional to 5,299.38, 7,315.56 and 3,311.22

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Solution

The fourth proportional to 5,299.38, 7,315.56 and 3,311.22 is: 4,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.38 : 7,315.56 = 3,311.22 : x
  2. Step 2: Convert to fraction form
    5,299.38/7,315.56 = 3,311.22/x
  3. Step 3: Cross multiply
    5,299.38x = 7,315.56 × 3,311.22
  4. Step 4: Simplify right side
    5,299.38x = 24,223,428.58
  5. Step 5: Solve for x
    x = 24,223,428.58/5,299.38
  6. Step 6: Final answer
    x = 4,570.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.