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Finding the Fourth Proportional to 5,306.67, 7,323.84 and 3,069.27

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Solution

The fourth proportional to 5,306.67, 7,323.84 and 3,069.27 is: 4,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.67 : 7,323.84 = 3,069.27 : x
  2. Step 2: Convert to fraction form
    5,306.67/7,323.84 = 3,069.27/x
  3. Step 3: Cross multiply
    5,306.67x = 7,323.84 × 3,069.27
  4. Step 4: Simplify right side
    5,306.67x = 22,478,842.40
  5. Step 5: Solve for x
    x = 22,478,842.40/5,306.67
  6. Step 6: Final answer
    x = 4,235.96

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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.