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Finding the Fourth Proportional to 5,306.99, 7,324.70 and 3,069.36

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Solution

The fourth proportional to 5,306.99, 7,324.70 and 3,069.36 is: 4,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.99 : 7,324.70 = 3,069.36 : x
  2. Step 2: Convert to fraction form
    5,306.99/7,324.70 = 3,069.36/x
  3. Step 3: Cross multiply
    5,306.99x = 7,324.70 × 3,069.36
  4. Step 4: Simplify right side
    5,306.99x = 22,482,125.85
  5. Step 5: Solve for x
    x = 22,482,125.85/5,306.99
  6. Step 6: Final answer
    x = 4,236.33

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