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Finding the Fourth Proportional to 3,745.74, 5,617.23 and 1,246.47

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Solution

The fourth proportional to 3,745.74, 5,617.23 and 1,246.47 is: 1,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.74 : 5,617.23 = 1,246.47 : x
  2. Step 2: Convert to fraction form
    3,745.74/5,617.23 = 1,246.47/x
  3. Step 3: Cross multiply
    3,745.74x = 5,617.23 × 1,246.47
  4. Step 4: Simplify right side
    3,745.74x = 7,001,708.68
  5. Step 5: Solve for x
    x = 7,001,708.68/3,745.74
  6. Step 6: Final answer
    x = 1,869.25

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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.