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Finding the Fourth Proportional to 5,640.57, 7,778.90 and 3,649.05

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Solution

The fourth proportional to 5,640.57, 7,778.90 and 3,649.05 is: 5,032.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.57 : 7,778.90 = 3,649.05 : x
  2. Step 2: Convert to fraction form
    5,640.57/7,778.90 = 3,649.05/x
  3. Step 3: Cross multiply
    5,640.57x = 7,778.90 × 3,649.05
  4. Step 4: Simplify right side
    5,640.57x = 28,385,604.17
  5. Step 5: Solve for x
    x = 28,385,604.17/5,640.57
  6. Step 6: Final answer
    x = 5,032.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.