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Finding the Fourth Proportional to 5,944.95, 8,204.04 and 3,292.30

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Solution

The fourth proportional to 5,944.95, 8,204.04 and 3,292.30 is: 4,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.95 : 8,204.04 = 3,292.30 : x
  2. Step 2: Convert to fraction form
    5,944.95/8,204.04 = 3,292.30/x
  3. Step 3: Cross multiply
    5,944.95x = 8,204.04 × 3,292.30
  4. Step 4: Simplify right side
    5,944.95x = 27,010,160.89
  5. Step 5: Solve for x
    x = 27,010,160.89/5,944.95
  6. Step 6: Final answer
    x = 4,543.38

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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.