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Finding the Fourth Proportional to 3,397.36, 5,099.64 and 2,855.40

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Solution

The fourth proportional to 3,397.36, 5,099.64 and 2,855.40 is: 4,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.36 : 5,099.64 = 2,855.40 : x
  2. Step 2: Convert to fraction form
    3,397.36/5,099.64 = 2,855.40/x
  3. Step 3: Cross multiply
    3,397.36x = 5,099.64 × 2,855.40
  4. Step 4: Simplify right side
    3,397.36x = 14,561,512.06
  5. Step 5: Solve for x
    x = 14,561,512.06/3,397.36
  6. Step 6: Final answer
    x = 4,286.13

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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.