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Finding the Fourth Proportional to 5,640.91, 7,784.08 and 3,122.85

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Solution

The fourth proportional to 5,640.91, 7,784.08 and 3,122.85 is: 4,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.91 : 7,784.08 = 3,122.85 : x
  2. Step 2: Convert to fraction form
    5,640.91/7,784.08 = 3,122.85/x
  3. Step 3: Cross multiply
    5,640.91x = 7,784.08 × 3,122.85
  4. Step 4: Simplify right side
    5,640.91x = 24,308,514.23
  5. Step 5: Solve for x
    x = 24,308,514.23/5,640.91
  6. Step 6: Final answer
    x = 4,309.32

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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.