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Finding the Fourth Proportional to 3,813.81, 5,262.21 and 2,415.75

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Solution

The fourth proportional to 3,813.81, 5,262.21 and 2,415.75 is: 3,333.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.81 : 5,262.21 = 2,415.75 : x
  2. Step 2: Convert to fraction form
    3,813.81/5,262.21 = 2,415.75/x
  3. Step 3: Cross multiply
    3,813.81x = 5,262.21 × 2,415.75
  4. Step 4: Simplify right side
    3,813.81x = 12,712,183.81
  5. Step 5: Solve for x
    x = 12,712,183.81/3,813.81
  6. Step 6: Final answer
    x = 3,333.20

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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.