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Finding the Fourth Proportional to 3,397.36, 5,091.90 and 2,782.36

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Solution

The fourth proportional to 3,397.36, 5,091.90 and 2,782.36 is: 4,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.36 : 5,091.90 = 2,782.36 : x
  2. Step 2: Convert to fraction form
    3,397.36/5,091.90 = 2,782.36/x
  3. Step 3: Cross multiply
    3,397.36x = 5,091.90 × 2,782.36
  4. Step 4: Simplify right side
    3,397.36x = 14,167,498.88
  5. Step 5: Solve for x
    x = 14,167,498.88/3,397.36
  6. Step 6: Final answer
    x = 4,170.15

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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.