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Finding the Fourth Proportional to 5,972.86, 8,242.03 and 3,453.26

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Solution

The fourth proportional to 5,972.86, 8,242.03 and 3,453.26 is: 4,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.86 : 8,242.03 = 3,453.26 : x
  2. Step 2: Convert to fraction form
    5,972.86/8,242.03 = 3,453.26/x
  3. Step 3: Cross multiply
    5,972.86x = 8,242.03 × 3,453.26
  4. Step 4: Simplify right side
    5,972.86x = 28,461,849.09
  5. Step 5: Solve for x
    x = 28,461,849.09/5,972.86
  6. Step 6: Final answer
    x = 4,765.19

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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.