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Finding the Fourth Proportional to 5,944.79, 8,204.19 and 3,292.22

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Solution

The fourth proportional to 5,944.79, 8,204.19 and 3,292.22 is: 4,543.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.79 : 8,204.19 = 3,292.22 : x
  2. Step 2: Convert to fraction form
    5,944.79/8,204.19 = 3,292.22/x
  3. Step 3: Cross multiply
    5,944.79x = 8,204.19 × 3,292.22
  4. Step 4: Simplify right side
    5,944.79x = 27,009,957.38
  5. Step 5: Solve for x
    x = 27,009,957.38/5,944.79
  6. Step 6: Final answer
    x = 4,543.47

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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.