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Finding the Fourth Proportional to 3,860.98, 5,328.24 and 2,182.42

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Solution

The fourth proportional to 3,860.98, 5,328.24 and 2,182.42 is: 3,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.98 : 5,328.24 = 2,182.42 : x
  2. Step 2: Convert to fraction form
    3,860.98/5,328.24 = 2,182.42/x
  3. Step 3: Cross multiply
    3,860.98x = 5,328.24 × 2,182.42
  4. Step 4: Simplify right side
    3,860.98x = 11,628,457.54
  5. Step 5: Solve for x
    x = 11,628,457.54/3,860.98
  6. Step 6: Final answer
    x = 3,011.79

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