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Finding the Fourth Proportional to 5,883.33, 8,109.67 and 5,766.69

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Solution

The fourth proportional to 5,883.33, 8,109.67 and 5,766.69 is: 7,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.33 : 8,109.67 = 5,766.69 : x
  2. Step 2: Convert to fraction form
    5,883.33/8,109.67 = 5,766.69/x
  3. Step 3: Cross multiply
    5,883.33x = 8,109.67 × 5,766.69
  4. Step 4: Simplify right side
    5,883.33x = 46,765,979.70
  5. Step 5: Solve for x
    x = 46,765,979.70/5,883.33
  6. Step 6: Final answer
    x = 7,948.89

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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.