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Finding the Fourth Proportional to 4,611.90, 6,912.68 and 1,837.83

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Solution

The fourth proportional to 4,611.90, 6,912.68 and 1,837.83 is: 2,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.90 : 6,912.68 = 1,837.83 : x
  2. Step 2: Convert to fraction form
    4,611.90/6,912.68 = 1,837.83/x
  3. Step 3: Cross multiply
    4,611.90x = 6,912.68 × 1,837.83
  4. Step 4: Simplify right side
    4,611.90x = 12,704,321.50
  5. Step 5: Solve for x
    x = 12,704,321.50/4,611.90
  6. Step 6: Final answer
    x = 2,754.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.