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Finding the Fourth Proportional to 5,961.52, 8,946.81 and 4,082.93

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Solution

The fourth proportional to 5,961.52, 8,946.81 and 4,082.93 is: 6,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,961.52 : 8,946.81 = 4,082.93 : x
  2. Step 2: Convert to fraction form
    5,961.52/8,946.81 = 4,082.93/x
  3. Step 3: Cross multiply
    5,961.52x = 8,946.81 × 4,082.93
  4. Step 4: Simplify right side
    5,961.52x = 36,529,178.54
  5. Step 5: Solve for x
    x = 36,529,178.54/5,961.52
  6. Step 6: Final answer
    x = 6,127.49

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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.