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Finding the Fourth Proportional to 3,642.39, 5,462.13 and 1,563.33

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Solution

The fourth proportional to 3,642.39, 5,462.13 and 1,563.33 is: 2,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.39 : 5,462.13 = 1,563.33 : x
  2. Step 2: Convert to fraction form
    3,642.39/5,462.13 = 1,563.33/x
  3. Step 3: Cross multiply
    3,642.39x = 5,462.13 × 1,563.33
  4. Step 4: Simplify right side
    3,642.39x = 8,539,111.69
  5. Step 5: Solve for x
    x = 8,539,111.69/3,642.39
  6. Step 6: Final answer
    x = 2,344.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.