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Finding the Fourth Proportional to 5,671.39, 7,825.25 and 3,433.25

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Solution

The fourth proportional to 5,671.39, 7,825.25 and 3,433.25 is: 4,737.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.39 : 7,825.25 = 3,433.25 : x
  2. Step 2: Convert to fraction form
    5,671.39/7,825.25 = 3,433.25/x
  3. Step 3: Cross multiply
    5,671.39x = 7,825.25 × 3,433.25
  4. Step 4: Simplify right side
    5,671.39x = 26,866,010.56
  5. Step 5: Solve for x
    x = 26,866,010.56/5,671.39
  6. Step 6: Final answer
    x = 4,737.11

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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.