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Finding the Fourth Proportional to 3,816.08, 5,725.20 and 2,427.20

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Solution

The fourth proportional to 3,816.08, 5,725.20 and 2,427.20 is: 3,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.08 : 5,725.20 = 2,427.20 : x
  2. Step 2: Convert to fraction form
    3,816.08/5,725.20 = 2,427.20/x
  3. Step 3: Cross multiply
    3,816.08x = 5,725.20 × 2,427.20
  4. Step 4: Simplify right side
    3,816.08x = 13,896,205.44
  5. Step 5: Solve for x
    x = 13,896,205.44/3,816.08
  6. Step 6: Final answer
    x = 3,641.49

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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.