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Finding the Fourth Proportional to 4,216.76, 5,819.09 and 2,328.34

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Solution

The fourth proportional to 4,216.76, 5,819.09 and 2,328.34 is: 3,213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.76 : 5,819.09 = 2,328.34 : x
  2. Step 2: Convert to fraction form
    4,216.76/5,819.09 = 2,328.34/x
  3. Step 3: Cross multiply
    4,216.76x = 5,819.09 × 2,328.34
  4. Step 4: Simplify right side
    4,216.76x = 13,548,820.01
  5. Step 5: Solve for x
    x = 13,548,820.01/4,216.76
  6. Step 6: Final answer
    x = 3,213.09

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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.