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Finding the Fourth Proportional to 4,174.34, 6,234.03 and 3,559.14

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Solution

The fourth proportional to 4,174.34, 6,234.03 and 3,559.14 is: 5,315.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.34 : 6,234.03 = 3,559.14 : x
  2. Step 2: Convert to fraction form
    4,174.34/6,234.03 = 3,559.14/x
  3. Step 3: Cross multiply
    4,174.34x = 6,234.03 × 3,559.14
  4. Step 4: Simplify right side
    4,174.34x = 22,187,785.53
  5. Step 5: Solve for x
    x = 22,187,785.53/4,174.34
  6. Step 6: Final answer
    x = 5,315.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.