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Finding the Fourth Proportional to 3,794.32, 5,690.04 and 2,152

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Solution

The fourth proportional to 3,794.32, 5,690.04 and 2,152 is: 3,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.32 : 5,690.04 = 2,152 : x
  2. Step 2: Convert to fraction form
    3,794.32/5,690.04 = 2,152/x
  3. Step 3: Cross multiply
    3,794.32x = 5,690.04 × 2,152
  4. Step 4: Simplify right side
    3,794.32x = 12,244,966.08
  5. Step 5: Solve for x
    x = 12,244,966.08/3,794.32
  6. Step 6: Final answer
    x = 3,227.18

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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.