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Finding the Fourth Proportional to 5,783.27, 8,669.30 and 3,697.38

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Solution

The fourth proportional to 5,783.27, 8,669.30 and 3,697.38 is: 5,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.27 : 8,669.30 = 3,697.38 : x
  2. Step 2: Convert to fraction form
    5,783.27/8,669.30 = 3,697.38/x
  3. Step 3: Cross multiply
    5,783.27x = 8,669.30 × 3,697.38
  4. Step 4: Simplify right side
    5,783.27x = 32,053,677.95
  5. Step 5: Solve for x
    x = 32,053,677.95/5,783.27
  6. Step 6: Final answer
    x = 5,542.49

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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.