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Finding the Fourth Proportional to 3,638.93, 5,021.57 and 2,224.99

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Solution

The fourth proportional to 3,638.93, 5,021.57 and 2,224.99 is: 3,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.93 : 5,021.57 = 2,224.99 : x
  2. Step 2: Convert to fraction form
    3,638.93/5,021.57 = 2,224.99/x
  3. Step 3: Cross multiply
    3,638.93x = 5,021.57 × 2,224.99
  4. Step 4: Simplify right side
    3,638.93x = 11,172,962.74
  5. Step 5: Solve for x
    x = 11,172,962.74/3,638.93
  6. Step 6: Final answer
    x = 3,070.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.