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Finding the Fourth Proportional to 4,448.82, 6,672.57 and 1,162.14

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Solution

The fourth proportional to 4,448.82, 6,672.57 and 1,162.14 is: 1,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,448.82 : 6,672.57 = 1,162.14 : x
  2. Step 2: Convert to fraction form
    4,448.82/6,672.57 = 1,162.14/x
  3. Step 3: Cross multiply
    4,448.82x = 6,672.57 × 1,162.14
  4. Step 4: Simplify right side
    4,448.82x = 7,754,460.50
  5. Step 5: Solve for x
    x = 7,754,460.50/4,448.82
  6. Step 6: Final answer
    x = 1,743.04

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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.