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Finding the Fourth Proportional to 4,223.34, 6,333.39 and 1,449.50

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Solution

The fourth proportional to 4,223.34, 6,333.39 and 1,449.50 is: 2,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.34 : 6,333.39 = 1,449.50 : x
  2. Step 2: Convert to fraction form
    4,223.34/6,333.39 = 1,449.50/x
  3. Step 3: Cross multiply
    4,223.34x = 6,333.39 × 1,449.50
  4. Step 4: Simplify right side
    4,223.34x = 9,180,217.14
  5. Step 5: Solve for x
    x = 9,180,217.14/4,223.34
  6. Step 6: Final answer
    x = 2,173.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.