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Finding the Fourth Proportional to 3,663.83, 5,491.50 and 2,084.03

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Solution

The fourth proportional to 3,663.83, 5,491.50 and 2,084.03 is: 3,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.83 : 5,491.50 = 2,084.03 : x
  2. Step 2: Convert to fraction form
    3,663.83/5,491.50 = 2,084.03/x
  3. Step 3: Cross multiply
    3,663.83x = 5,491.50 × 2,084.03
  4. Step 4: Simplify right side
    3,663.83x = 11,444,436.07
  5. Step 5: Solve for x
    x = 11,444,436.07/3,663.83
  6. Step 6: Final answer
    x = 3,123.62

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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.