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Finding the Fourth Proportional to 4,175.74, 5,775.06 and 3,650.86

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Solution

The fourth proportional to 4,175.74, 5,775.06 and 3,650.86 is: 5,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.74 : 5,775.06 = 3,650.86 : x
  2. Step 2: Convert to fraction form
    4,175.74/5,775.06 = 3,650.86/x
  3. Step 3: Cross multiply
    4,175.74x = 5,775.06 × 3,650.86
  4. Step 4: Simplify right side
    4,175.74x = 21,083,935.55
  5. Step 5: Solve for x
    x = 21,083,935.55/4,175.74
  6. Step 6: Final answer
    x = 5,049.15

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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.