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Finding the Fourth Proportional to 5,634.30, 8,449.02 and 1,737.80

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Solution

The fourth proportional to 5,634.30, 8,449.02 and 1,737.80 is: 2,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.30 : 8,449.02 = 1,737.80 : x
  2. Step 2: Convert to fraction form
    5,634.30/8,449.02 = 1,737.80/x
  3. Step 3: Cross multiply
    5,634.30x = 8,449.02 × 1,737.80
  4. Step 4: Simplify right side
    5,634.30x = 14,682,706.96
  5. Step 5: Solve for x
    x = 14,682,706.96/5,634.30
  6. Step 6: Final answer
    x = 2,605.95

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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.