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Finding the Fourth Proportional to 3,772.26, 5,657.76 and 1,174.50

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Solution

The fourth proportional to 3,772.26, 5,657.76 and 1,174.50 is: 1,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.26 : 5,657.76 = 1,174.50 : x
  2. Step 2: Convert to fraction form
    3,772.26/5,657.76 = 1,174.50/x
  3. Step 3: Cross multiply
    3,772.26x = 5,657.76 × 1,174.50
  4. Step 4: Simplify right side
    3,772.26x = 6,645,039.12
  5. Step 5: Solve for x
    x = 6,645,039.12/3,772.26
  6. Step 6: Final answer
    x = 1,761.55

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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.