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Finding the Fourth Proportional to 5,685.57, 7,845.98 and 3,133.41

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Solution

The fourth proportional to 5,685.57, 7,845.98 and 3,133.41 is: 4,324.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.57 : 7,845.98 = 3,133.41 : x
  2. Step 2: Convert to fraction form
    5,685.57/7,845.98 = 3,133.41/x
  3. Step 3: Cross multiply
    5,685.57x = 7,845.98 × 3,133.41
  4. Step 4: Simplify right side
    5,685.57x = 24,584,632.96
  5. Step 5: Solve for x
    x = 24,584,632.96/5,685.57
  6. Step 6: Final answer
    x = 4,324.04

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Why These Related Problems?

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