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Finding the Fourth Proportional to 5,753.65, 8,628.45 and 2,004.43

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Solution

The fourth proportional to 5,753.65, 8,628.45 and 2,004.43 is: 3,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.65 : 8,628.45 = 2,004.43 : x
  2. Step 2: Convert to fraction form
    5,753.65/8,628.45 = 2,004.43/x
  3. Step 3: Cross multiply
    5,753.65x = 8,628.45 × 2,004.43
  4. Step 4: Simplify right side
    5,753.65x = 17,295,124.03
  5. Step 5: Solve for x
    x = 17,295,124.03/5,753.65
  6. Step 6: Final answer
    x = 3,005.94

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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.