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Finding the Fourth Proportional to 3,736.84, 5,597.10 and 2,000.20

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Solution

The fourth proportional to 3,736.84, 5,597.10 and 2,000.20 is: 2,995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.84 : 5,597.10 = 2,000.20 : x
  2. Step 2: Convert to fraction form
    3,736.84/5,597.10 = 2,000.20/x
  3. Step 3: Cross multiply
    3,736.84x = 5,597.10 × 2,000.20
  4. Step 4: Simplify right side
    3,736.84x = 11,195,319.42
  5. Step 5: Solve for x
    x = 11,195,319.42/3,736.84
  6. Step 6: Final answer
    x = 2,995.93

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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.