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Finding the Fourth Proportional to 4,161.36, 6,235.86 and 1,819.20

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Solution

The fourth proportional to 4,161.36, 6,235.86 and 1,819.20 is: 2,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.36 : 6,235.86 = 1,819.20 : x
  2. Step 2: Convert to fraction form
    4,161.36/6,235.86 = 1,819.20/x
  3. Step 3: Cross multiply
    4,161.36x = 6,235.86 × 1,819.20
  4. Step 4: Simplify right side
    4,161.36x = 11,344,276.51
  5. Step 5: Solve for x
    x = 11,344,276.51/4,161.36
  6. Step 6: Final answer
    x = 2,726.10

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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.