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Finding the Fourth Proportional to 4,474.30, 6,711.54 and 2,134.54

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Solution

The fourth proportional to 4,474.30, 6,711.54 and 2,134.54 is: 3,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,474.30 : 6,711.54 = 2,134.54 : x
  2. Step 2: Convert to fraction form
    4,474.30/6,711.54 = 2,134.54/x
  3. Step 3: Cross multiply
    4,474.30x = 6,711.54 × 2,134.54
  4. Step 4: Simplify right side
    4,474.30x = 14,326,050.59
  5. Step 5: Solve for x
    x = 14,326,050.59/4,474.30
  6. Step 6: Final answer
    x = 3,201.85

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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.