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Finding the Fourth Proportional to 3,772.49, 5,659.27 and 1,175.63

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Solution

The fourth proportional to 3,772.49, 5,659.27 and 1,175.63 is: 1,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.49 : 5,659.27 = 1,175.63 : x
  2. Step 2: Convert to fraction form
    3,772.49/5,659.27 = 1,175.63/x
  3. Step 3: Cross multiply
    3,772.49x = 5,659.27 × 1,175.63
  4. Step 4: Simplify right side
    3,772.49x = 6,653,176.35
  5. Step 5: Solve for x
    x = 6,653,176.35/3,772.49
  6. Step 6: Final answer
    x = 1,763.61

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1.5x scale

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.