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Finding the Fourth Proportional to 5,709.24, 8,564.10 and 2,790

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Solution

The fourth proportional to 5,709.24, 8,564.10 and 2,790 is: 4,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.24 : 8,564.10 = 2,790 : x
  2. Step 2: Convert to fraction form
    5,709.24/8,564.10 = 2,790/x
  3. Step 3: Cross multiply
    5,709.24x = 8,564.10 × 2,790
  4. Step 4: Simplify right side
    5,709.24x = 23,893,839
  5. Step 5: Solve for x
    x = 23,893,839/5,709.24
  6. Step 6: Final answer
    x = 4,185.12

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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.