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Finding the Fourth Proportional to 3,747.86, 5,625.23 and 1,900.28

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Solution

The fourth proportional to 3,747.86, 5,625.23 and 1,900.28 is: 2,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.86 : 5,625.23 = 1,900.28 : x
  2. Step 2: Convert to fraction form
    3,747.86/5,625.23 = 1,900.28/x
  3. Step 3: Cross multiply
    3,747.86x = 5,625.23 × 1,900.28
  4. Step 4: Simplify right side
    3,747.86x = 10,689,512.06
  5. Step 5: Solve for x
    x = 10,689,512.06/3,747.86
  6. Step 6: Final answer
    x = 2,852.16

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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.