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Finding the Fourth Proportional to 3,752.34, 5,625.26 and 1,805.91

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Solution

The fourth proportional to 3,752.34, 5,625.26 and 1,805.91 is: 2,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.34 : 5,625.26 = 1,805.91 : x
  2. Step 2: Convert to fraction form
    3,752.34/5,625.26 = 1,805.91/x
  3. Step 3: Cross multiply
    3,752.34x = 5,625.26 × 1,805.91
  4. Step 4: Simplify right side
    3,752.34x = 10,158,713.29
  5. Step 5: Solve for x
    x = 10,158,713.29/3,752.34
  6. Step 6: Final answer
    x = 2,707.30

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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.