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Finding the Fourth Proportional to 3,815.08, 5,725.86 and 2,722.12

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Solution

The fourth proportional to 3,815.08, 5,725.86 and 2,722.12 is: 4,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.08 : 5,725.86 = 2,722.12 : x
  2. Step 2: Convert to fraction form
    3,815.08/5,725.86 = 2,722.12/x
  3. Step 3: Cross multiply
    3,815.08x = 5,725.86 × 2,722.12
  4. Step 4: Simplify right side
    3,815.08x = 15,586,478.02
  5. Step 5: Solve for x
    x = 15,586,478.02/3,815.08
  6. Step 6: Final answer
    x = 4,085.49

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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.