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Finding the Fourth Proportional to 3,771.08, 5,657.99 and 1,306.15

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Solution

The fourth proportional to 3,771.08, 5,657.99 and 1,306.15 is: 1,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.08 : 5,657.99 = 1,306.15 : x
  2. Step 2: Convert to fraction form
    3,771.08/5,657.99 = 1,306.15/x
  3. Step 3: Cross multiply
    3,771.08x = 5,657.99 × 1,306.15
  4. Step 4: Simplify right side
    3,771.08x = 7,390,183.64
  5. Step 5: Solve for x
    x = 7,390,183.64/3,771.08
  6. Step 6: Final answer
    x = 1,959.70

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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.