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Finding the Fourth Proportional to 5,494.74, 8,228.25 and 3,640.26

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Solution

The fourth proportional to 5,494.74, 8,228.25 and 3,640.26 is: 5,451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.74 : 8,228.25 = 3,640.26 : x
  2. Step 2: Convert to fraction form
    5,494.74/8,228.25 = 3,640.26/x
  3. Step 3: Cross multiply
    5,494.74x = 8,228.25 × 3,640.26
  4. Step 4: Simplify right side
    5,494.74x = 29,952,969.35
  5. Step 5: Solve for x
    x = 29,952,969.35/5,494.74
  6. Step 6: Final answer
    x = 5,451.21

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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.