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Finding the Fourth Proportional to 4,205.50, 5,803.88 and 2,786.78

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Solution

The fourth proportional to 4,205.50, 5,803.88 and 2,786.78 is: 3,845.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.50 : 5,803.88 = 2,786.78 : x
  2. Step 2: Convert to fraction form
    4,205.50/5,803.88 = 2,786.78/x
  3. Step 3: Cross multiply
    4,205.50x = 5,803.88 × 2,786.78
  4. Step 4: Simplify right side
    4,205.50x = 16,174,136.71
  5. Step 5: Solve for x
    x = 16,174,136.71/4,205.50
  6. Step 6: Final answer
    x = 3,845.95

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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.