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Finding the Fourth Proportional to 3,641.16, 5,462.42 and 1,175.72

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Solution

The fourth proportional to 3,641.16, 5,462.42 and 1,175.72 is: 1,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.16 : 5,462.42 = 1,175.72 : x
  2. Step 2: Convert to fraction form
    3,641.16/5,462.42 = 1,175.72/x
  3. Step 3: Cross multiply
    3,641.16x = 5,462.42 × 1,175.72
  4. Step 4: Simplify right side
    3,641.16x = 6,422,276.44
  5. Step 5: Solve for x
    x = 6,422,276.44/3,641.16
  6. Step 6: Final answer
    x = 1,763.80

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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.