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Finding the Fourth Proportional to 2,800.86, 3,864.15 and 2,796.54

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Solution

The fourth proportional to 2,800.86, 3,864.15 and 2,796.54 is: 3,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.86 : 3,864.15 = 2,796.54 : x
  2. Step 2: Convert to fraction form
    2,800.86/3,864.15 = 2,796.54/x
  3. Step 3: Cross multiply
    2,800.86x = 3,864.15 × 2,796.54
  4. Step 4: Simplify right side
    2,800.86x = 10,806,250.04
  5. Step 5: Solve for x
    x = 10,806,250.04/2,800.86
  6. Step 6: Final answer
    x = 3,858.19

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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.