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Finding the Fourth Proportional to 5,134.86, 7,693.83 and 2,170.89

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Solution

The fourth proportional to 5,134.86, 7,693.83 and 2,170.89 is: 3,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.86 : 7,693.83 = 2,170.89 : x
  2. Step 2: Convert to fraction form
    5,134.86/7,693.83 = 2,170.89/x
  3. Step 3: Cross multiply
    5,134.86x = 7,693.83 × 2,170.89
  4. Step 4: Simplify right side
    5,134.86x = 16,702,458.61
  5. Step 5: Solve for x
    x = 16,702,458.61/5,134.86
  6. Step 6: Final answer
    x = 3,252.76

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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.