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Finding the Fourth Proportional to 3,663.63, 5,488.12 and 2,201.99

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Solution

The fourth proportional to 3,663.63, 5,488.12 and 2,201.99 is: 3,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.63 : 5,488.12 = 2,201.99 : x
  2. Step 2: Convert to fraction form
    3,663.63/5,488.12 = 2,201.99/x
  3. Step 3: Cross multiply
    3,663.63x = 5,488.12 × 2,201.99
  4. Step 4: Simplify right side
    3,663.63x = 12,084,760.67
  5. Step 5: Solve for x
    x = 12,084,760.67/3,663.63
  6. Step 6: Final answer
    x = 3,298.58

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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.