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Finding the Fourth Proportional to 4,234.86, 5,838.48 and 3,475.86

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Solution

The fourth proportional to 4,234.86, 5,838.48 and 3,475.86 is: 4,792.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.86 : 5,838.48 = 3,475.86 : x
  2. Step 2: Convert to fraction form
    4,234.86/5,838.48 = 3,475.86/x
  3. Step 3: Cross multiply
    4,234.86x = 5,838.48 × 3,475.86
  4. Step 4: Simplify right side
    4,234.86x = 20,293,739.09
  5. Step 5: Solve for x
    x = 20,293,739.09/4,234.86
  6. Step 6: Final answer
    x = 4,792.07

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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.