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Finding the Fourth Proportional to 3,858.80, 5,322.36 and 2,462

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Solution

The fourth proportional to 3,858.80, 5,322.36 and 2,462 is: 3,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.80 : 5,322.36 = 2,462 : x
  2. Step 2: Convert to fraction form
    3,858.80/5,322.36 = 2,462/x
  3. Step 3: Cross multiply
    3,858.80x = 5,322.36 × 2,462
  4. Step 4: Simplify right side
    3,858.80x = 13,103,650.32
  5. Step 5: Solve for x
    x = 13,103,650.32/3,858.80
  6. Step 6: Final answer
    x = 3,395.78

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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.