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Finding the Fourth Proportional to 5,234.70, 7,851.84 and 1,771.95

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Solution

The fourth proportional to 5,234.70, 7,851.84 and 1,771.95 is: 2,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.70 : 7,851.84 = 1,771.95 : x
  2. Step 2: Convert to fraction form
    5,234.70/7,851.84 = 1,771.95/x
  3. Step 3: Cross multiply
    5,234.70x = 7,851.84 × 1,771.95
  4. Step 4: Simplify right side
    5,234.70x = 13,913,067.89
  5. Step 5: Solve for x
    x = 13,913,067.89/5,234.70
  6. Step 6: Final answer
    x = 2,657.85

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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.