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Finding the Fourth Proportional to 3,808, 5,255.04 and 2,152.32

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Solution

The fourth proportional to 3,808, 5,255.04 and 2,152.32 is: 2,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808 : 5,255.04 = 2,152.32 : x
  2. Step 2: Convert to fraction form
    3,808/5,255.04 = 2,152.32/x
  3. Step 3: Cross multiply
    3,808x = 5,255.04 × 2,152.32
  4. Step 4: Simplify right side
    3,808x = 11,310,527.69
  5. Step 5: Solve for x
    x = 11,310,527.69/3,808
  6. Step 6: Final answer
    x = 2,970.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.