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Finding the Fourth Proportional to 4,234.14, 6,353.03 and 2,287.71

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Solution

The fourth proportional to 4,234.14, 6,353.03 and 2,287.71 is: 3,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.14 : 6,353.03 = 2,287.71 : x
  2. Step 2: Convert to fraction form
    4,234.14/6,353.03 = 2,287.71/x
  3. Step 3: Cross multiply
    4,234.14x = 6,353.03 × 2,287.71
  4. Step 4: Simplify right side
    4,234.14x = 14,533,895.98
  5. Step 5: Solve for x
    x = 14,533,895.98/4,234.14
  6. Step 6: Final answer
    x = 3,432.55

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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.