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Finding the Fourth Proportional to 5,183.78, 7,776.65 and 2,842.49

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Solution

The fourth proportional to 5,183.78, 7,776.65 and 2,842.49 is: 4,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.78 : 7,776.65 = 2,842.49 : x
  2. Step 2: Convert to fraction form
    5,183.78/7,776.65 = 2,842.49/x
  3. Step 3: Cross multiply
    5,183.78x = 7,776.65 × 2,842.49
  4. Step 4: Simplify right side
    5,183.78x = 22,105,076.41
  5. Step 5: Solve for x
    x = 22,105,076.41/5,183.78
  6. Step 6: Final answer
    x = 4,264.28

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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.