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Finding the Fourth Proportional to 5,944.54, 8,916 and 3,475.66

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Solution

The fourth proportional to 5,944.54, 8,916 and 3,475.66 is: 5,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.54 : 8,916 = 3,475.66 : x
  2. Step 2: Convert to fraction form
    5,944.54/8,916 = 3,475.66/x
  3. Step 3: Cross multiply
    5,944.54x = 8,916 × 3,475.66
  4. Step 4: Simplify right side
    5,944.54x = 30,988,984.56
  5. Step 5: Solve for x
    x = 30,988,984.56/5,944.54
  6. Step 6: Final answer
    x = 5,213.02

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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.