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Finding the Fourth Proportional to 4,086.57, 5,640.75 and 2,407.86

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Solution

The fourth proportional to 4,086.57, 5,640.75 and 2,407.86 is: 3,323.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.57 : 5,640.75 = 2,407.86 : x
  2. Step 2: Convert to fraction form
    4,086.57/5,640.75 = 2,407.86/x
  3. Step 3: Cross multiply
    4,086.57x = 5,640.75 × 2,407.86
  4. Step 4: Simplify right side
    4,086.57x = 13,582,136.30
  5. Step 5: Solve for x
    x = 13,582,136.30/4,086.57
  6. Step 6: Final answer
    x = 3,323.60

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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.