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Finding the Fourth Proportional to 3,707.92, 5,558.04 and 2,554

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Solution

The fourth proportional to 3,707.92, 5,558.04 and 2,554 is: 3,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.92 : 5,558.04 = 2,554 : x
  2. Step 2: Convert to fraction form
    3,707.92/5,558.04 = 2,554/x
  3. Step 3: Cross multiply
    3,707.92x = 5,558.04 × 2,554
  4. Step 4: Simplify right side
    3,707.92x = 14,195,234.16
  5. Step 5: Solve for x
    x = 14,195,234.16/3,707.92
  6. Step 6: Final answer
    x = 3,828.36

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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.