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Finding the Fourth Proportional to 3,840.84, 5,761.35 and 2,873.09

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Solution

The fourth proportional to 3,840.84, 5,761.35 and 2,873.09 is: 4,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.84 : 5,761.35 = 2,873.09 : x
  2. Step 2: Convert to fraction form
    3,840.84/5,761.35 = 2,873.09/x
  3. Step 3: Cross multiply
    3,840.84x = 5,761.35 × 2,873.09
  4. Step 4: Simplify right side
    3,840.84x = 16,552,848.26
  5. Step 5: Solve for x
    x = 16,552,848.26/3,840.84
  6. Step 6: Final answer
    x = 4,309.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.