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Finding the Fourth Proportional to 5,640.90, 7,785.33 and 3,403.09

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Solution

The fourth proportional to 5,640.90, 7,785.33 and 3,403.09 is: 4,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.90 : 7,785.33 = 3,403.09 : x
  2. Step 2: Convert to fraction form
    5,640.90/7,785.33 = 3,403.09/x
  3. Step 3: Cross multiply
    5,640.90x = 7,785.33 × 3,403.09
  4. Step 4: Simplify right side
    5,640.90x = 26,494,178.67
  5. Step 5: Solve for x
    x = 26,494,178.67/5,640.90
  6. Step 6: Final answer
    x = 4,696.80

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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.