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Finding the Fourth Proportional to 3,774.33, 5,663.04 and 1,664.85

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Solution

The fourth proportional to 3,774.33, 5,663.04 and 1,664.85 is: 2,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.33 : 5,663.04 = 1,664.85 : x
  2. Step 2: Convert to fraction form
    3,774.33/5,663.04 = 1,664.85/x
  3. Step 3: Cross multiply
    3,774.33x = 5,663.04 × 1,664.85
  4. Step 4: Simplify right side
    3,774.33x = 9,428,112.14
  5. Step 5: Solve for x
    x = 9,428,112.14/3,774.33
  6. Step 6: Final answer
    x = 2,497.96

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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.