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Finding the Fourth Proportional to 5,183.76, 7,775.88 and 2,262

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Solution

The fourth proportional to 5,183.76, 7,775.88 and 2,262 is: 3,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.76 : 7,775.88 = 2,262 : x
  2. Step 2: Convert to fraction form
    5,183.76/7,775.88 = 2,262/x
  3. Step 3: Cross multiply
    5,183.76x = 7,775.88 × 2,262
  4. Step 4: Simplify right side
    5,183.76x = 17,589,040.56
  5. Step 5: Solve for x
    x = 17,589,040.56/5,183.76
  6. Step 6: Final answer
    x = 3,393.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.