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Finding the Fourth Proportional to 3,860.41, 5,786.10 and 3,422.50

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Solution

The fourth proportional to 3,860.41, 5,786.10 and 3,422.50 is: 5,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.41 : 5,786.10 = 3,422.50 : x
  2. Step 2: Convert to fraction form
    3,860.41/5,786.10 = 3,422.50/x
  3. Step 3: Cross multiply
    3,860.41x = 5,786.10 × 3,422.50
  4. Step 4: Simplify right side
    3,860.41x = 19,802,929.06
  5. Step 5: Solve for x
    x = 19,802,929.06/3,860.41
  6. Step 6: Final answer
    x = 5,129.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.