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Finding the Fourth Proportional to 3,474.63, 5,211.27 and 1,282.77

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Solution

The fourth proportional to 3,474.63, 5,211.27 and 1,282.77 is: 1,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.63 : 5,211.27 = 1,282.77 : x
  2. Step 2: Convert to fraction form
    3,474.63/5,211.27 = 1,282.77/x
  3. Step 3: Cross multiply
    3,474.63x = 5,211.27 × 1,282.77
  4. Step 4: Simplify right side
    3,474.63x = 6,684,860.82
  5. Step 5: Solve for x
    x = 6,684,860.82/3,474.63
  6. Step 6: Final answer
    x = 1,923.91

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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.