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Finding the Fourth Proportional to 4,174.67, 5,760.64 and 2,495.74

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Solution

The fourth proportional to 4,174.67, 5,760.64 and 2,495.74 is: 3,443.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.67 : 5,760.64 = 2,495.74 : x
  2. Step 2: Convert to fraction form
    4,174.67/5,760.64 = 2,495.74/x
  3. Step 3: Cross multiply
    4,174.67x = 5,760.64 × 2,495.74
  4. Step 4: Simplify right side
    4,174.67x = 14,377,059.67
  5. Step 5: Solve for x
    x = 14,377,059.67/4,174.67
  6. Step 6: Final answer
    x = 3,443.88

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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.