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Finding the Fourth Proportional to 3,513.80, 5,271.21 and 1,049.38

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Solution

The fourth proportional to 3,513.80, 5,271.21 and 1,049.38 is: 1,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.80 : 5,271.21 = 1,049.38 : x
  2. Step 2: Convert to fraction form
    3,513.80/5,271.21 = 1,049.38/x
  3. Step 3: Cross multiply
    3,513.80x = 5,271.21 × 1,049.38
  4. Step 4: Simplify right side
    3,513.80x = 5,531,489.17
  5. Step 5: Solve for x
    x = 5,531,489.17/3,513.80
  6. Step 6: Final answer
    x = 1,574.22

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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.