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Finding the Fourth Proportional to 4,175.44, 5,760.80 and 2,406.82

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Solution

The fourth proportional to 4,175.44, 5,760.80 and 2,406.82 is: 3,320.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.44 : 5,760.80 = 2,406.82 : x
  2. Step 2: Convert to fraction form
    4,175.44/5,760.80 = 2,406.82/x
  3. Step 3: Cross multiply
    4,175.44x = 5,760.80 × 2,406.82
  4. Step 4: Simplify right side
    4,175.44x = 13,865,208.66
  5. Step 5: Solve for x
    x = 13,865,208.66/4,175.44
  6. Step 6: Final answer
    x = 3,320.66

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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.