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Finding the Fourth Proportional to 4,150.58, 5,726.40 and 2,822

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Solution

The fourth proportional to 4,150.58, 5,726.40 and 2,822 is: 3,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.58 : 5,726.40 = 2,822 : x
  2. Step 2: Convert to fraction form
    4,150.58/5,726.40 = 2,822/x
  3. Step 3: Cross multiply
    4,150.58x = 5,726.40 × 2,822
  4. Step 4: Simplify right side
    4,150.58x = 16,159,900.80
  5. Step 5: Solve for x
    x = 16,159,900.80/4,150.58
  6. Step 6: Final answer
    x = 3,893.41

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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.