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Finding the Fourth Proportional to 3,866.50, 5,794.88 and 2,773.00

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Solution

The fourth proportional to 3,866.50, 5,794.88 and 2,773.00 is: 4,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.50 : 5,794.88 = 2,773.00 : x
  2. Step 2: Convert to fraction form
    3,866.50/5,794.88 = 2,773.00/x
  3. Step 3: Cross multiply
    3,866.50x = 5,794.88 × 2,773.00
  4. Step 4: Simplify right side
    3,866.50x = 16,069,173.27
  5. Step 5: Solve for x
    x = 16,069,173.27/3,866.50
  6. Step 6: Final answer
    x = 4,156.01

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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.