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Finding the Fourth Proportional to 5,367, 8,053.74 and 2,289

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Solution

The fourth proportional to 5,367, 8,053.74 and 2,289 is: 3,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367 : 8,053.74 = 2,289 : x
  2. Step 2: Convert to fraction form
    5,367/8,053.74 = 2,289/x
  3. Step 3: Cross multiply
    5,367x = 8,053.74 × 2,289
  4. Step 4: Simplify right side
    5,367x = 18,435,010.86
  5. Step 5: Solve for x
    x = 18,435,010.86/5,367
  6. Step 6: Final answer
    x = 3,434.88

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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.