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Finding the Fourth Proportional to 3,669.22, 5,063.47 and 2,097.28

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Solution

The fourth proportional to 3,669.22, 5,063.47 and 2,097.28 is: 2,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.22 : 5,063.47 = 2,097.28 : x
  2. Step 2: Convert to fraction form
    3,669.22/5,063.47 = 2,097.28/x
  3. Step 3: Cross multiply
    3,669.22x = 5,063.47 × 2,097.28
  4. Step 4: Simplify right side
    3,669.22x = 10,619,514.36
  5. Step 5: Solve for x
    x = 10,619,514.36/3,669.22
  6. Step 6: Final answer
    x = 2,894.22

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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.