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Finding the Fourth Proportional to 3,772.56, 5,659.15 and 1,175.50

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Solution

The fourth proportional to 3,772.56, 5,659.15 and 1,175.50 is: 1,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.56 : 5,659.15 = 1,175.50 : x
  2. Step 2: Convert to fraction form
    3,772.56/5,659.15 = 1,175.50/x
  3. Step 3: Cross multiply
    3,772.56x = 5,659.15 × 1,175.50
  4. Step 4: Simplify right side
    3,772.56x = 6,652,330.83
  5. Step 5: Solve for x
    x = 6,652,330.83/3,772.56
  6. Step 6: Final answer
    x = 1,763.35

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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.