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Finding the Fourth Proportional to 3,808.42, 5,708.78 and 1,467.72

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Solution

The fourth proportional to 3,808.42, 5,708.78 and 1,467.72 is: 2,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.42 : 5,708.78 = 1,467.72 : x
  2. Step 2: Convert to fraction form
    3,808.42/5,708.78 = 1,467.72/x
  3. Step 3: Cross multiply
    3,808.42x = 5,708.78 × 1,467.72
  4. Step 4: Simplify right side
    3,808.42x = 8,378,888.75
  5. Step 5: Solve for x
    x = 8,378,888.75/3,808.42
  6. Step 6: Final answer
    x = 2,200.10

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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.