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Finding the Fourth Proportional to 4,156.86, 6,234.07 and 3,424.62

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Solution

The fourth proportional to 4,156.86, 6,234.07 and 3,424.62 is: 5,135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.86 : 6,234.07 = 3,424.62 : x
  2. Step 2: Convert to fraction form
    4,156.86/6,234.07 = 3,424.62/x
  3. Step 3: Cross multiply
    4,156.86x = 6,234.07 × 3,424.62
  4. Step 4: Simplify right side
    4,156.86x = 21,349,320.80
  5. Step 5: Solve for x
    x = 21,349,320.80/4,156.86
  6. Step 6: Final answer
    x = 5,135.92

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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.