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Finding the Fourth Proportional to 4,216.35, 5,819.01 and 2,538.30

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Solution

The fourth proportional to 4,216.35, 5,819.01 and 2,538.30 is: 3,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.35 : 5,819.01 = 2,538.30 : x
  2. Step 2: Convert to fraction form
    4,216.35/5,819.01 = 2,538.30/x
  3. Step 3: Cross multiply
    4,216.35x = 5,819.01 × 2,538.30
  4. Step 4: Simplify right side
    4,216.35x = 14,770,393.08
  5. Step 5: Solve for x
    x = 14,770,393.08/4,216.35
  6. Step 6: Final answer
    x = 3,503.12

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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.