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Finding the Fourth Proportional to 3,669.53, 5,494.89 and 2,024.24

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Solution

The fourth proportional to 3,669.53, 5,494.89 and 2,024.24 is: 3,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.53 : 5,494.89 = 2,024.24 : x
  2. Step 2: Convert to fraction form
    3,669.53/5,494.89 = 2,024.24/x
  3. Step 3: Cross multiply
    3,669.53x = 5,494.89 × 2,024.24
  4. Step 4: Simplify right side
    3,669.53x = 11,122,989.87
  5. Step 5: Solve for x
    x = 11,122,989.87/3,669.53
  6. Step 6: Final answer
    x = 3,031.18

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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.