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Finding the Fourth Proportional to 3,889.64, 5,837.97 and 2,836.40

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Solution

The fourth proportional to 3,889.64, 5,837.97 and 2,836.40 is: 4,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.64 : 5,837.97 = 2,836.40 : x
  2. Step 2: Convert to fraction form
    3,889.64/5,837.97 = 2,836.40/x
  3. Step 3: Cross multiply
    3,889.64x = 5,837.97 × 2,836.40
  4. Step 4: Simplify right side
    3,889.64x = 16,558,818.11
  5. Step 5: Solve for x
    x = 16,558,818.11/3,889.64
  6. Step 6: Final answer
    x = 4,257.16

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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.