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Finding the Fourth Proportional to 3,102.59, 4,285.93 and 2,822.33

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Solution

The fourth proportional to 3,102.59, 4,285.93 and 2,822.33 is: 3,898.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.59 : 4,285.93 = 2,822.33 : x
  2. Step 2: Convert to fraction form
    3,102.59/4,285.93 = 2,822.33/x
  3. Step 3: Cross multiply
    3,102.59x = 4,285.93 × 2,822.33
  4. Step 4: Simplify right side
    3,102.59x = 12,096,293.66
  5. Step 5: Solve for x
    x = 12,096,293.66/3,102.59
  6. Step 6: Final answer
    x = 3,898.78

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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.