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Finding the Fourth Proportional to 6,299.78, 9,452.40 and 2,405.30

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Solution

The fourth proportional to 6,299.78, 9,452.40 and 2,405.30 is: 3,608.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.78 : 9,452.40 = 2,405.30 : x
  2. Step 2: Convert to fraction form
    6,299.78/9,452.40 = 2,405.30/x
  3. Step 3: Cross multiply
    6,299.78x = 9,452.40 × 2,405.30
  4. Step 4: Simplify right side
    6,299.78x = 22,735,857.72
  5. Step 5: Solve for x
    x = 22,735,857.72/6,299.78
  6. Step 6: Final answer
    x = 3,608.99

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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.