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Finding the Fourth Proportional to 3,642.63, 5,026.83 and 1,986.63

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Solution

The fourth proportional to 3,642.63, 5,026.83 and 1,986.63 is: 2,741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.63 : 5,026.83 = 1,986.63 : x
  2. Step 2: Convert to fraction form
    3,642.63/5,026.83 = 1,986.63/x
  3. Step 3: Cross multiply
    3,642.63x = 5,026.83 × 1,986.63
  4. Step 4: Simplify right side
    3,642.63x = 9,986,416.22
  5. Step 5: Solve for x
    x = 9,986,416.22/3,642.63
  6. Step 6: Final answer
    x = 2,741.54

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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.