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Finding the Fourth Proportional to 4,148.75, 6,223.13 and 2,299.34

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Solution

The fourth proportional to 4,148.75, 6,223.13 and 2,299.34 is: 3,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.75 : 6,223.13 = 2,299.34 : x
  2. Step 2: Convert to fraction form
    4,148.75/6,223.13 = 2,299.34/x
  3. Step 3: Cross multiply
    4,148.75x = 6,223.13 × 2,299.34
  4. Step 4: Simplify right side
    4,148.75x = 14,309,091.73
  5. Step 5: Solve for x
    x = 14,309,091.73/4,148.75
  6. Step 6: Final answer
    x = 3,449.01

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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.