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Finding the Fourth Proportional to 3,711.82, 5,564.94 and 1,245.16

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Solution

The fourth proportional to 3,711.82, 5,564.94 and 1,245.16 is: 1,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.82 : 5,564.94 = 1,245.16 : x
  2. Step 2: Convert to fraction form
    3,711.82/5,564.94 = 1,245.16/x
  3. Step 3: Cross multiply
    3,711.82x = 5,564.94 × 1,245.16
  4. Step 4: Simplify right side
    3,711.82x = 6,929,240.69
  5. Step 5: Solve for x
    x = 6,929,240.69/3,711.82
  6. Step 6: Final answer
    x = 1,866.80

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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.