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Finding the Fourth Proportional to 4,216.82, 5,819.20 and 2,328.44

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Solution

The fourth proportional to 4,216.82, 5,819.20 and 2,328.44 is: 3,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.82 : 5,819.20 = 2,328.44 : x
  2. Step 2: Convert to fraction form
    4,216.82/5,819.20 = 2,328.44/x
  3. Step 3: Cross multiply
    4,216.82x = 5,819.20 × 2,328.44
  4. Step 4: Simplify right side
    4,216.82x = 13,549,623.13
  5. Step 5: Solve for x
    x = 13,549,623.13/4,216.82
  6. Step 6: Final answer
    x = 3,213.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.