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Finding the Fourth Proportional to 3,513.49, 4,847.13 and 2,254.14

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Solution

The fourth proportional to 3,513.49, 4,847.13 and 2,254.14 is: 3,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.49 : 4,847.13 = 2,254.14 : x
  2. Step 2: Convert to fraction form
    3,513.49/4,847.13 = 2,254.14/x
  3. Step 3: Cross multiply
    3,513.49x = 4,847.13 × 2,254.14
  4. Step 4: Simplify right side
    3,513.49x = 10,926,109.62
  5. Step 5: Solve for x
    x = 10,926,109.62/3,513.49
  6. Step 6: Final answer
    x = 3,109.76

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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.