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Finding the Fourth Proportional to 5,186.85, 7,775.64 and 2,262.84

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Solution

The fourth proportional to 5,186.85, 7,775.64 and 2,262.84 is: 3,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.85 : 7,775.64 = 2,262.84 : x
  2. Step 2: Convert to fraction form
    5,186.85/7,775.64 = 2,262.84/x
  3. Step 3: Cross multiply
    5,186.85x = 7,775.64 × 2,262.84
  4. Step 4: Simplify right side
    5,186.85x = 17,595,029.22
  5. Step 5: Solve for x
    x = 17,595,029.22/5,186.85
  6. Step 6: Final answer
    x = 3,392.24

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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.