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Finding the Fourth Proportional to 3,105.78, 4,280.52 and 2,762.25

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Solution

The fourth proportional to 3,105.78, 4,280.52 and 2,762.25 is: 3,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.78 : 4,280.52 = 2,762.25 : x
  2. Step 2: Convert to fraction form
    3,105.78/4,280.52 = 2,762.25/x
  3. Step 3: Cross multiply
    3,105.78x = 4,280.52 × 2,762.25
  4. Step 4: Simplify right side
    3,105.78x = 11,823,866.37
  5. Step 5: Solve for x
    x = 11,823,866.37/3,105.78
  6. Step 6: Final answer
    x = 3,807.05

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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.