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Finding the Fourth Proportional to 3,513.68, 4,849.96 and 2,271.44

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Solution

The fourth proportional to 3,513.68, 4,849.96 and 2,271.44 is: 3,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.68 : 4,849.96 = 2,271.44 : x
  2. Step 2: Convert to fraction form
    3,513.68/4,849.96 = 2,271.44/x
  3. Step 3: Cross multiply
    3,513.68x = 4,849.96 × 2,271.44
  4. Step 4: Simplify right side
    3,513.68x = 11,016,393.14
  5. Step 5: Solve for x
    x = 11,016,393.14/3,513.68
  6. Step 6: Final answer
    x = 3,135.29

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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.