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Finding the Fourth Proportional to 4,329, 6,497.82 and 3,162.60

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Solution

The fourth proportional to 4,329, 6,497.82 and 3,162.60 is: 4,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,329 : 6,497.82 = 3,162.60 : x
  2. Step 2: Convert to fraction form
    4,329/6,497.82 = 3,162.60/x
  3. Step 3: Cross multiply
    4,329x = 6,497.82 × 3,162.60
  4. Step 4: Simplify right side
    4,329x = 20,550,005.53
  5. Step 5: Solve for x
    x = 20,550,005.53/4,329
  6. Step 6: Final answer
    x = 4,747.06

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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.