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Finding the Fourth Proportional to 3,155.26, 4,735.41 and 1,857.82

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Solution

The fourth proportional to 3,155.26, 4,735.41 and 1,857.82 is: 2,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.26 : 4,735.41 = 1,857.82 : x
  2. Step 2: Convert to fraction form
    3,155.26/4,735.41 = 1,857.82/x
  3. Step 3: Cross multiply
    3,155.26x = 4,735.41 × 1,857.82
  4. Step 4: Simplify right side
    3,155.26x = 8,797,539.41
  5. Step 5: Solve for x
    x = 8,797,539.41/3,155.26
  6. Step 6: Final answer
    x = 2,788.21

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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.