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Finding the Fourth Proportional to 5,912.35, 8,852.87 and 3,569.22

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Solution

The fourth proportional to 5,912.35, 8,852.87 and 3,569.22 is: 5,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.35 : 8,852.87 = 3,569.22 : x
  2. Step 2: Convert to fraction form
    5,912.35/8,852.87 = 3,569.22/x
  3. Step 3: Cross multiply
    5,912.35x = 8,852.87 × 3,569.22
  4. Step 4: Simplify right side
    5,912.35x = 31,597,849.58
  5. Step 5: Solve for x
    x = 31,597,849.58/5,912.35
  6. Step 6: Final answer
    x = 5,344.38

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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.