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Finding the Fourth Proportional to 3,745.74, 5,618.63 and 1,665.26

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Solution

The fourth proportional to 3,745.74, 5,618.63 and 1,665.26 is: 2,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.74 : 5,618.63 = 1,665.26 : x
  2. Step 2: Convert to fraction form
    3,745.74/5,618.63 = 1,665.26/x
  3. Step 3: Cross multiply
    3,745.74x = 5,618.63 × 1,665.26
  4. Step 4: Simplify right side
    3,745.74x = 9,356,479.79
  5. Step 5: Solve for x
    x = 9,356,479.79/3,745.74
  6. Step 6: Final answer
    x = 2,497.90

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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.