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Finding the Fourth Proportional to 4,161.26, 5,743.10 and 4,024.51

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Solution

The fourth proportional to 4,161.26, 5,743.10 and 4,024.51 is: 5,554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.26 : 5,743.10 = 4,024.51 : x
  2. Step 2: Convert to fraction form
    4,161.26/5,743.10 = 4,024.51/x
  3. Step 3: Cross multiply
    4,161.26x = 5,743.10 × 4,024.51
  4. Step 4: Simplify right side
    4,161.26x = 23,113,114.54
  5. Step 5: Solve for x
    x = 23,113,114.54/4,161.26
  6. Step 6: Final answer
    x = 5,554.35

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