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Finding the Fourth Proportional to 5,183.40, 7,774.04 and 1,484.64

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Solution

The fourth proportional to 5,183.40, 7,774.04 and 1,484.64 is: 2,226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.40 : 7,774.04 = 1,484.64 : x
  2. Step 2: Convert to fraction form
    5,183.40/7,774.04 = 1,484.64/x
  3. Step 3: Cross multiply
    5,183.40x = 7,774.04 × 1,484.64
  4. Step 4: Simplify right side
    5,183.40x = 11,541,650.75
  5. Step 5: Solve for x
    x = 11,541,650.75/5,183.40
  6. Step 6: Final answer
    x = 2,226.66

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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.