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Finding the Fourth Proportional to 3,709.41, 5,562.07 and 1,519.68

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Solution

The fourth proportional to 3,709.41, 5,562.07 and 1,519.68 is: 2,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.41 : 5,562.07 = 1,519.68 : x
  2. Step 2: Convert to fraction form
    3,709.41/5,562.07 = 1,519.68/x
  3. Step 3: Cross multiply
    3,709.41x = 5,562.07 × 1,519.68
  4. Step 4: Simplify right side
    3,709.41x = 8,452,566.54
  5. Step 5: Solve for x
    x = 8,452,566.54/3,709.41
  6. Step 6: Final answer
    x = 2,278.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.