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Finding the Fourth Proportional to 4,499.65, 6,745.89 and 2,949.31

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Solution

The fourth proportional to 4,499.65, 6,745.89 and 2,949.31 is: 4,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499.65 : 6,745.89 = 2,949.31 : x
  2. Step 2: Convert to fraction form
    4,499.65/6,745.89 = 2,949.31/x
  3. Step 3: Cross multiply
    4,499.65x = 6,745.89 × 2,949.31
  4. Step 4: Simplify right side
    4,499.65x = 19,895,687.11
  5. Step 5: Solve for x
    x = 19,895,687.11/4,499.65
  6. Step 6: Final answer
    x = 4,421.61

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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.