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Finding the Fourth Proportional to 5,640.49, 8,447.90 and 4,854.23

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Solution

The fourth proportional to 5,640.49, 8,447.90 and 4,854.23 is: 7,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.49 : 8,447.90 = 4,854.23 : x
  2. Step 2: Convert to fraction form
    5,640.49/8,447.90 = 4,854.23/x
  3. Step 3: Cross multiply
    5,640.49x = 8,447.90 × 4,854.23
  4. Step 4: Simplify right side
    5,640.49x = 41,008,014.79
  5. Step 5: Solve for x
    x = 41,008,014.79/5,640.49
  6. Step 6: Final answer
    x = 7,270.30

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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.