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Finding the Fourth Proportional to 5,362, 8,043.92 and 1,663.92

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Solution

The fourth proportional to 5,362, 8,043.92 and 1,663.92 is: 2,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362 : 8,043.92 = 1,663.92 : x
  2. Step 2: Convert to fraction form
    5,362/8,043.92 = 1,663.92/x
  3. Step 3: Cross multiply
    5,362x = 8,043.92 × 1,663.92
  4. Step 4: Simplify right side
    5,362x = 13,384,439.37
  5. Step 5: Solve for x
    x = 13,384,439.37/5,362
  6. Step 6: Final answer
    x = 2,496.17

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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.