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Finding the Fourth Proportional to 6,299.21, 9,448.90 and 2,740.50

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Solution

The fourth proportional to 6,299.21, 9,448.90 and 2,740.50 is: 4,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.21 : 9,448.90 = 2,740.50 : x
  2. Step 2: Convert to fraction form
    6,299.21/9,448.90 = 2,740.50/x
  3. Step 3: Cross multiply
    6,299.21x = 9,448.90 × 2,740.50
  4. Step 4: Simplify right side
    6,299.21x = 25,894,703.60
  5. Step 5: Solve for x
    x = 25,894,703.60/6,299.21
  6. Step 6: Final answer
    x = 4,110.78

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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.