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Finding the Fourth Proportional to 3,747.74, 5,623.43 and 1,798.88

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Solution

The fourth proportional to 3,747.74, 5,623.43 and 1,798.88 is: 2,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.74 : 5,623.43 = 1,798.88 : x
  2. Step 2: Convert to fraction form
    3,747.74/5,623.43 = 1,798.88/x
  3. Step 3: Cross multiply
    3,747.74x = 5,623.43 × 1,798.88
  4. Step 4: Simplify right side
    3,747.74x = 10,115,838.65
  5. Step 5: Solve for x
    x = 10,115,838.65/3,747.74
  6. Step 6: Final answer
    x = 2,699.19

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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.