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Finding the Fourth Proportional to 4,175, 5,761.44 and 2,406.80

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Solution

The fourth proportional to 4,175, 5,761.44 and 2,406.80 is: 3,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175 : 5,761.44 = 2,406.80 : x
  2. Step 2: Convert to fraction form
    4,175/5,761.44 = 2,406.80/x
  3. Step 3: Cross multiply
    4,175x = 5,761.44 × 2,406.80
  4. Step 4: Simplify right side
    4,175x = 13,866,633.79
  5. Step 5: Solve for x
    x = 13,866,633.79/4,175
  6. Step 6: Final answer
    x = 3,321.35

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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.