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Finding the Fourth Proportional to 5,709.99, 8,548.78 and 3,737.91

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Solution

The fourth proportional to 5,709.99, 8,548.78 and 3,737.91 is: 5,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.99 : 8,548.78 = 3,737.91 : x
  2. Step 2: Convert to fraction form
    5,709.99/8,548.78 = 3,737.91/x
  3. Step 3: Cross multiply
    5,709.99x = 8,548.78 × 3,737.91
  4. Step 4: Simplify right side
    5,709.99x = 31,954,570.25
  5. Step 5: Solve for x
    x = 31,954,570.25/5,709.99
  6. Step 6: Final answer
    x = 5,596.26

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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.