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Finding the Fourth Proportional to 4,175, 5,761.26 and 2,286.58

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Solution

The fourth proportional to 4,175, 5,761.26 and 2,286.58 is: 3,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175 : 5,761.26 = 2,286.58 : x
  2. Step 2: Convert to fraction form
    4,175/5,761.26 = 2,286.58/x
  3. Step 3: Cross multiply
    4,175x = 5,761.26 × 2,286.58
  4. Step 4: Simplify right side
    4,175x = 13,173,581.89
  5. Step 5: Solve for x
    x = 13,173,581.89/4,175
  6. Step 6: Final answer
    x = 3,155.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.