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Finding the Fourth Proportional to 3,462.56, 4,778.42 and 2,118.36

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Solution

The fourth proportional to 3,462.56, 4,778.42 and 2,118.36 is: 2,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.56 : 4,778.42 = 2,118.36 : x
  2. Step 2: Convert to fraction form
    3,462.56/4,778.42 = 2,118.36/x
  3. Step 3: Cross multiply
    3,462.56x = 4,778.42 × 2,118.36
  4. Step 4: Simplify right side
    3,462.56x = 10,122,403.20
  5. Step 5: Solve for x
    x = 10,122,403.20/3,462.56
  6. Step 6: Final answer
    x = 2,923.39

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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.