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Finding the Fourth Proportional to 4,112.42, 5,675.76 and 2,621

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Solution

The fourth proportional to 4,112.42, 5,675.76 and 2,621 is: 3,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.42 : 5,675.76 = 2,621 : x
  2. Step 2: Convert to fraction form
    4,112.42/5,675.76 = 2,621/x
  3. Step 3: Cross multiply
    4,112.42x = 5,675.76 × 2,621
  4. Step 4: Simplify right side
    4,112.42x = 14,876,166.96
  5. Step 5: Solve for x
    x = 14,876,166.96/4,112.42
  6. Step 6: Final answer
    x = 3,617.38

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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.