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Finding the Fourth Proportional to 3,641.78, 5,024.22 and 2,048.07

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Solution

The fourth proportional to 3,641.78, 5,024.22 and 2,048.07 is: 2,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.78 : 5,024.22 = 2,048.07 : x
  2. Step 2: Convert to fraction form
    3,641.78/5,024.22 = 2,048.07/x
  3. Step 3: Cross multiply
    3,641.78x = 5,024.22 × 2,048.07
  4. Step 4: Simplify right side
    3,641.78x = 10,289,954.26
  5. Step 5: Solve for x
    x = 10,289,954.26/3,641.78
  6. Step 6: Final answer
    x = 2,825.53

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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.