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Finding the Fourth Proportional to 5,234.29, 7,854.12 and 2,893.85

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Solution

The fourth proportional to 5,234.29, 7,854.12 and 2,893.85 is: 4,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.29 : 7,854.12 = 2,893.85 : x
  2. Step 2: Convert to fraction form
    5,234.29/7,854.12 = 2,893.85/x
  3. Step 3: Cross multiply
    5,234.29x = 7,854.12 × 2,893.85
  4. Step 4: Simplify right side
    5,234.29x = 22,728,645.16
  5. Step 5: Solve for x
    x = 22,728,645.16/5,234.29
  6. Step 6: Final answer
    x = 4,342.26

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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.