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Finding the Fourth Proportional to 5,410.14, 8,115.20 and 1,306.14

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Solution

The fourth proportional to 5,410.14, 8,115.20 and 1,306.14 is: 1,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.14 : 8,115.20 = 1,306.14 : x
  2. Step 2: Convert to fraction form
    5,410.14/8,115.20 = 1,306.14/x
  3. Step 3: Cross multiply
    5,410.14x = 8,115.20 × 1,306.14
  4. Step 4: Simplify right side
    5,410.14x = 10,599,587.33
  5. Step 5: Solve for x
    x = 10,599,587.33/5,410.14
  6. Step 6: Final answer
    x = 1,959.21

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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.