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Finding the Fourth Proportional to 3,461.38, 5,193.28 and 1,513.73

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Solution

The fourth proportional to 3,461.38, 5,193.28 and 1,513.73 is: 2,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.38 : 5,193.28 = 1,513.73 : x
  2. Step 2: Convert to fraction form
    3,461.38/5,193.28 = 1,513.73/x
  3. Step 3: Cross multiply
    3,461.38x = 5,193.28 × 1,513.73
  4. Step 4: Simplify right side
    3,461.38x = 7,861,223.73
  5. Step 5: Solve for x
    x = 7,861,223.73/3,461.38
  6. Step 6: Final answer
    x = 2,271.12

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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.