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Finding the Fourth Proportional to 5,758.74, 8,636.27 and 2,469.74

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Solution

The fourth proportional to 5,758.74, 8,636.27 and 2,469.74 is: 3,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.74 : 8,636.27 = 2,469.74 : x
  2. Step 2: Convert to fraction form
    5,758.74/8,636.27 = 2,469.74/x
  3. Step 3: Cross multiply
    5,758.74x = 8,636.27 × 2,469.74
  4. Step 4: Simplify right side
    5,758.74x = 21,329,285.94
  5. Step 5: Solve for x
    x = 21,329,285.94/5,758.74
  6. Step 6: Final answer
    x = 3,703.81

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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.