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Finding the Fourth Proportional to 3,764.76, 5,636.04 and 2,373.84

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Solution

The fourth proportional to 3,764.76, 5,636.04 and 2,373.84 is: 3,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.76 : 5,636.04 = 2,373.84 : x
  2. Step 2: Convert to fraction form
    3,764.76/5,636.04 = 2,373.84/x
  3. Step 3: Cross multiply
    3,764.76x = 5,636.04 × 2,373.84
  4. Step 4: Simplify right side
    3,764.76x = 13,379,057.19
  5. Step 5: Solve for x
    x = 13,379,057.19/3,764.76
  6. Step 6: Final answer
    x = 3,553.76

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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.