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Finding the Fourth Proportional to 4,174.86, 6,262.30 and 3,349.06

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Solution

The fourth proportional to 4,174.86, 6,262.30 and 3,349.06 is: 5,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.86 : 6,262.30 = 3,349.06 : x
  2. Step 2: Convert to fraction form
    4,174.86/6,262.30 = 3,349.06/x
  3. Step 3: Cross multiply
    4,174.86x = 6,262.30 × 3,349.06
  4. Step 4: Simplify right side
    4,174.86x = 20,972,818.44
  5. Step 5: Solve for x
    x = 20,972,818.44/4,174.86
  6. Step 6: Final answer
    x = 5,023.60

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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.