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Finding the Fourth Proportional to 5,640.50, 7,785.42 and 3,402.44

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Solution

The fourth proportional to 5,640.50, 7,785.42 and 3,402.44 is: 4,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.50 : 7,785.42 = 3,402.44 : x
  2. Step 2: Convert to fraction form
    5,640.50/7,785.42 = 3,402.44/x
  3. Step 3: Cross multiply
    5,640.50x = 7,785.42 × 3,402.44
  4. Step 4: Simplify right side
    5,640.50x = 26,489,424.42
  5. Step 5: Solve for x
    x = 26,489,424.42/5,640.50
  6. Step 6: Final answer
    x = 4,696.29

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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.