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Finding the Fourth Proportional to 4,213.94, 5,815.76 and 2,536.22

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Solution

The fourth proportional to 4,213.94, 5,815.76 and 2,536.22 is: 3,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.94 : 5,815.76 = 2,536.22 : x
  2. Step 2: Convert to fraction form
    4,213.94/5,815.76 = 2,536.22/x
  3. Step 3: Cross multiply
    4,213.94x = 5,815.76 × 2,536.22
  4. Step 4: Simplify right side
    4,213.94x = 14,750,034.15
  5. Step 5: Solve for x
    x = 14,750,034.15/4,213.94
  6. Step 6: Final answer
    x = 3,500.30

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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.