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Finding the Fourth Proportional to 5,299, 7,946.56 and 2,375.80

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Solution

The fourth proportional to 5,299, 7,946.56 and 2,375.80 is: 3,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299 : 7,946.56 = 2,375.80 : x
  2. Step 2: Convert to fraction form
    5,299/7,946.56 = 2,375.80/x
  3. Step 3: Cross multiply
    5,299x = 7,946.56 × 2,375.80
  4. Step 4: Simplify right side
    5,299x = 18,879,437.25
  5. Step 5: Solve for x
    x = 18,879,437.25/5,299
  6. Step 6: Final answer
    x = 3,562.83

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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.