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Finding the Fourth Proportional to 5,206.13, 7,809.36 and 1,310.54

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Solution

The fourth proportional to 5,206.13, 7,809.36 and 1,310.54 is: 1,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.13 : 7,809.36 = 1,310.54 : x
  2. Step 2: Convert to fraction form
    5,206.13/7,809.36 = 1,310.54/x
  3. Step 3: Cross multiply
    5,206.13x = 7,809.36 × 1,310.54
  4. Step 4: Simplify right side
    5,206.13x = 10,234,439.61
  5. Step 5: Solve for x
    x = 10,234,439.61/5,206.13
  6. Step 6: Final answer
    x = 1,965.85

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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.