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Finding the Fourth Proportional to 4,223.72, 6,336.30 and 1,449.72

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Solution

The fourth proportional to 4,223.72, 6,336.30 and 1,449.72 is: 2,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.72 : 6,336.30 = 1,449.72 : x
  2. Step 2: Convert to fraction form
    4,223.72/6,336.30 = 1,449.72/x
  3. Step 3: Cross multiply
    4,223.72x = 6,336.30 × 1,449.72
  4. Step 4: Simplify right side
    4,223.72x = 9,185,860.84
  5. Step 5: Solve for x
    x = 9,185,860.84/4,223.72
  6. Step 6: Final answer
    x = 2,174.83

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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.