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Finding the Fourth Proportional to 3,648.30, 5,473.06 and 1,183.74

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Solution

The fourth proportional to 3,648.30, 5,473.06 and 1,183.74 is: 1,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.30 : 5,473.06 = 1,183.74 : x
  2. Step 2: Convert to fraction form
    3,648.30/5,473.06 = 1,183.74/x
  3. Step 3: Cross multiply
    3,648.30x = 5,473.06 × 1,183.74
  4. Step 4: Simplify right side
    3,648.30x = 6,478,680.04
  5. Step 5: Solve for x
    x = 6,478,680.04/3,648.30
  6. Step 6: Final answer
    x = 1,775.81

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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.