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Finding the Fourth Proportional to 3,866.00, 5,794.13 and 2,772.50

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Solution

The fourth proportional to 3,866.00, 5,794.13 and 2,772.50 is: 4,155.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.00 : 5,794.13 = 2,772.50 : x
  2. Step 2: Convert to fraction form
    3,866.00/5,794.13 = 2,772.50/x
  3. Step 3: Cross multiply
    3,866.00x = 5,794.13 × 2,772.50
  4. Step 4: Simplify right side
    3,866.00x = 16,064,203.39
  5. Step 5: Solve for x
    x = 16,064,203.39/3,866.00
  6. Step 6: Final answer
    x = 4,155.26

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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.