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Finding the Fourth Proportional to 4,174.72, 5,758.22 and 2,846.18

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Solution

The fourth proportional to 4,174.72, 5,758.22 and 2,846.18 is: 3,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.72 : 5,758.22 = 2,846.18 : x
  2. Step 2: Convert to fraction form
    4,174.72/5,758.22 = 2,846.18/x
  3. Step 3: Cross multiply
    4,174.72x = 5,758.22 × 2,846.18
  4. Step 4: Simplify right side
    4,174.72x = 16,388,930.60
  5. Step 5: Solve for x
    x = 16,388,930.60/4,174.72
  6. Step 6: Final answer
    x = 3,925.76

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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.