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Finding the Fourth Proportional to 4,234.86, 6,352.11 and 1,156.86

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Solution

The fourth proportional to 4,234.86, 6,352.11 and 1,156.86 is: 1,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.86 : 6,352.11 = 1,156.86 : x
  2. Step 2: Convert to fraction form
    4,234.86/6,352.11 = 1,156.86/x
  3. Step 3: Cross multiply
    4,234.86x = 6,352.11 × 1,156.86
  4. Step 4: Simplify right side
    4,234.86x = 7,348,501.97
  5. Step 5: Solve for x
    x = 7,348,501.97/4,234.86
  6. Step 6: Final answer
    x = 1,735.24

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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.