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Finding the Fourth Proportional to 3,745.60, 5,617.28 and 1,898.88

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Solution

The fourth proportional to 3,745.60, 5,617.28 and 1,898.88 is: 2,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.60 : 5,617.28 = 1,898.88 : x
  2. Step 2: Convert to fraction form
    3,745.60/5,617.28 = 1,898.88/x
  3. Step 3: Cross multiply
    3,745.60x = 5,617.28 × 1,898.88
  4. Step 4: Simplify right side
    3,745.60x = 10,666,540.65
  5. Step 5: Solve for x
    x = 10,666,540.65/3,745.60
  6. Step 6: Final answer
    x = 2,847.75

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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.