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Finding the Fourth Proportional to 4,174.53, 6,262.41 and 1,253.07

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Solution

The fourth proportional to 4,174.53, 6,262.41 and 1,253.07 is: 1,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.53 : 6,262.41 = 1,253.07 : x
  2. Step 2: Convert to fraction form
    4,174.53/6,262.41 = 1,253.07/x
  3. Step 3: Cross multiply
    4,174.53x = 6,262.41 × 1,253.07
  4. Step 4: Simplify right side
    4,174.53x = 7,847,200.52
  5. Step 5: Solve for x
    x = 7,847,200.52/4,174.53
  6. Step 6: Final answer
    x = 1,879.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.