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Finding the Fourth Proportional to 3,461.95, 4,772.55 and 2,134.77

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Solution

The fourth proportional to 3,461.95, 4,772.55 and 2,134.77 is: 2,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.95 : 4,772.55 = 2,134.77 : x
  2. Step 2: Convert to fraction form
    3,461.95/4,772.55 = 2,134.77/x
  3. Step 3: Cross multiply
    3,461.95x = 4,772.55 × 2,134.77
  4. Step 4: Simplify right side
    3,461.95x = 10,188,296.56
  5. Step 5: Solve for x
    x = 10,188,296.56/3,461.95
  6. Step 6: Final answer
    x = 2,942.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.