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Finding the Fourth Proportional to 5,709.50, 8,564.20 and 2,936.94

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Solution

The fourth proportional to 5,709.50, 8,564.20 and 2,936.94 is: 4,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.50 : 8,564.20 = 2,936.94 : x
  2. Step 2: Convert to fraction form
    5,709.50/8,564.20 = 2,936.94/x
  3. Step 3: Cross multiply
    5,709.50x = 8,564.20 × 2,936.94
  4. Step 4: Simplify right side
    5,709.50x = 25,152,541.55
  5. Step 5: Solve for x
    x = 25,152,541.55/5,709.50
  6. Step 6: Final answer
    x = 4,405.38

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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.