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Finding the Fourth Proportional to 4,449.75, 6,142.20 and 2,562.09

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Solution

The fourth proportional to 4,449.75, 6,142.20 and 2,562.09 is: 3,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.75 : 6,142.20 = 2,562.09 : x
  2. Step 2: Convert to fraction form
    4,449.75/6,142.20 = 2,562.09/x
  3. Step 3: Cross multiply
    4,449.75x = 6,142.20 × 2,562.09
  4. Step 4: Simplify right side
    4,449.75x = 15,736,866.81
  5. Step 5: Solve for x
    x = 15,736,866.81/4,449.75
  6. Step 6: Final answer
    x = 3,536.57

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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.