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Finding the Fourth Proportional to 10,571.20, 15,857.88 and 3,644.08

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Solution

The fourth proportional to 10,571.20, 15,857.88 and 3,644.08 is: 5,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.20 : 15,857.88 = 3,644.08 : x
  2. Step 2: Convert to fraction form
    10,571.20/15,857.88 = 3,644.08/x
  3. Step 3: Cross multiply
    10,571.20x = 15,857.88 × 3,644.08
  4. Step 4: Simplify right side
    10,571.20x = 57,787,383.35
  5. Step 5: Solve for x
    x = 57,787,383.35/10,571.20
  6. Step 6: Final answer
    x = 5,466.49

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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.