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Finding the Fourth Proportional to 6,490.52, 8,956.92 and 3,696

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Solution

The fourth proportional to 6,490.52, 8,956.92 and 3,696 is: 5,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.52 : 8,956.92 = 3,696 : x
  2. Step 2: Convert to fraction form
    6,490.52/8,956.92 = 3,696/x
  3. Step 3: Cross multiply
    6,490.52x = 8,956.92 × 3,696
  4. Step 4: Simplify right side
    6,490.52x = 33,104,776.32
  5. Step 5: Solve for x
    x = 33,104,776.32/6,490.52
  6. Step 6: Final answer
    x = 5,100.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.