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Finding the Fourth Proportional to 5,122.86, 7,671.97 and 3,474.41

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Solution

The fourth proportional to 5,122.86, 7,671.97 and 3,474.41 is: 5,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.86 : 7,671.97 = 3,474.41 : x
  2. Step 2: Convert to fraction form
    5,122.86/7,671.97 = 3,474.41/x
  3. Step 3: Cross multiply
    5,122.86x = 7,671.97 × 3,474.41
  4. Step 4: Simplify right side
    5,122.86x = 26,655,569.29
  5. Step 5: Solve for x
    x = 26,655,569.29/5,122.86
  6. Step 6: Final answer
    x = 5,203.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.