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Finding the Fourth Proportional to 3,703.50, 5,557.98 and 1,755.71

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Solution

The fourth proportional to 3,703.50, 5,557.98 and 1,755.71 is: 2,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.50 : 5,557.98 = 1,755.71 : x
  2. Step 2: Convert to fraction form
    3,703.50/5,557.98 = 1,755.71/x
  3. Step 3: Cross multiply
    3,703.50x = 5,557.98 × 1,755.71
  4. Step 4: Simplify right side
    3,703.50x = 9,758,173.28
  5. Step 5: Solve for x
    x = 9,758,173.28/3,703.50
  6. Step 6: Final answer
    x = 2,634.85

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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.