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Finding the Fourth Proportional to 5,606.69, 7,737.20 and 3,369.80

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Solution

The fourth proportional to 5,606.69, 7,737.20 and 3,369.80 is: 4,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.69 : 7,737.20 = 3,369.80 : x
  2. Step 2: Convert to fraction form
    5,606.69/7,737.20 = 3,369.80/x
  3. Step 3: Cross multiply
    5,606.69x = 7,737.20 × 3,369.80
  4. Step 4: Simplify right side
    5,606.69x = 26,072,822.21
  5. Step 5: Solve for x
    x = 26,072,822.21/5,606.69
  6. Step 6: Final answer
    x = 4,650.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.