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Finding the Fourth Proportional to 5,963.92, 8,946.36 and 1,581.34

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Solution

The fourth proportional to 5,963.92, 8,946.36 and 1,581.34 is: 2,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.92 : 8,946.36 = 1,581.34 : x
  2. Step 2: Convert to fraction form
    5,963.92/8,946.36 = 1,581.34/x
  3. Step 3: Cross multiply
    5,963.92x = 8,946.36 × 1,581.34
  4. Step 4: Simplify right side
    5,963.92x = 14,147,236.92
  5. Step 5: Solve for x
    x = 14,147,236.92/5,963.92
  6. Step 6: Final answer
    x = 2,372.14

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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.