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Finding the Fourth Proportional to 3,648.80, 5,473.12 and 1,183.76

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Solution

The fourth proportional to 3,648.80, 5,473.12 and 1,183.76 is: 1,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.80 : 5,473.12 = 1,183.76 : x
  2. Step 2: Convert to fraction form
    3,648.80/5,473.12 = 1,183.76/x
  3. Step 3: Cross multiply
    3,648.80x = 5,473.12 × 1,183.76
  4. Step 4: Simplify right side
    3,648.80x = 6,478,883.74
  5. Step 5: Solve for x
    x = 6,478,883.74/3,648.80
  6. Step 6: Final answer
    x = 1,775.62

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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.