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Finding the Fourth Proportional to 4,162.44, 5,743.84 and 2,394.16

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Solution

The fourth proportional to 4,162.44, 5,743.84 and 2,394.16 is: 3,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.44 : 5,743.84 = 2,394.16 : x
  2. Step 2: Convert to fraction form
    4,162.44/5,743.84 = 2,394.16/x
  3. Step 3: Cross multiply
    4,162.44x = 5,743.84 × 2,394.16
  4. Step 4: Simplify right side
    4,162.44x = 13,751,649.38
  5. Step 5: Solve for x
    x = 13,751,649.38/4,162.44
  6. Step 6: Final answer
    x = 3,303.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.