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Finding the Fourth Proportional to 5,953.76, 8,944.32 and 4,202.81

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Solution

The fourth proportional to 5,953.76, 8,944.32 and 4,202.81 is: 6,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.76 : 8,944.32 = 4,202.81 : x
  2. Step 2: Convert to fraction form
    5,953.76/8,944.32 = 4,202.81/x
  3. Step 3: Cross multiply
    5,953.76x = 8,944.32 × 4,202.81
  4. Step 4: Simplify right side
    5,953.76x = 37,591,277.54
  5. Step 5: Solve for x
    x = 37,591,277.54/5,953.76
  6. Step 6: Final answer
    x = 6,313.87

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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.