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Finding the Fourth Proportional to 3,513.71, 4,846.77 and 2,254.34

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Solution

The fourth proportional to 3,513.71, 4,846.77 and 2,254.34 is: 3,109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.71 : 4,846.77 = 2,254.34 : x
  2. Step 2: Convert to fraction form
    3,513.71/4,846.77 = 2,254.34/x
  3. Step 3: Cross multiply
    3,513.71x = 4,846.77 × 2,254.34
  4. Step 4: Simplify right side
    3,513.71x = 10,926,243.25
  5. Step 5: Solve for x
    x = 10,926,243.25/3,513.71
  6. Step 6: Final answer
    x = 3,109.61

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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.