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Finding the Fourth Proportional to 3,664.77, 5,057.15 and 2,267.25

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Solution

The fourth proportional to 3,664.77, 5,057.15 and 2,267.25 is: 3,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.77 : 5,057.15 = 2,267.25 : x
  2. Step 2: Convert to fraction form
    3,664.77/5,057.15 = 2,267.25/x
  3. Step 3: Cross multiply
    3,664.77x = 5,057.15 × 2,267.25
  4. Step 4: Simplify right side
    3,664.77x = 11,465,812.00
  5. Step 5: Solve for x
    x = 11,465,812.00/3,664.77
  6. Step 6: Final answer
    x = 3,128.66

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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.