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Finding the Fourth Proportional to 3,767.46, 5,200.12 and 2,350.32

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Solution

The fourth proportional to 3,767.46, 5,200.12 and 2,350.32 is: 3,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.46 : 5,200.12 = 2,350.32 : x
  2. Step 2: Convert to fraction form
    3,767.46/5,200.12 = 2,350.32/x
  3. Step 3: Cross multiply
    3,767.46x = 5,200.12 × 2,350.32
  4. Step 4: Simplify right side
    3,767.46x = 12,221,946.04
  5. Step 5: Solve for x
    x = 12,221,946.04/3,767.46
  6. Step 6: Final answer
    x = 3,244.08

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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.