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Finding the Fourth Proportional to 5,935.40, 8,924.70 and 5,805.80

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Solution

The fourth proportional to 5,935.40, 8,924.70 and 5,805.80 is: 8,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.40 : 8,924.70 = 5,805.80 : x
  2. Step 2: Convert to fraction form
    5,935.40/8,924.70 = 5,805.80/x
  3. Step 3: Cross multiply
    5,935.40x = 8,924.70 × 5,805.80
  4. Step 4: Simplify right side
    5,935.40x = 51,815,023.26
  5. Step 5: Solve for x
    x = 51,815,023.26/5,935.40
  6. Step 6: Final answer
    x = 8,729.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.