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Finding the Fourth Proportional to 5,206.86, 7,185.24 and 2,969.22

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Solution

The fourth proportional to 5,206.86, 7,185.24 and 2,969.22 is: 4,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.86 : 7,185.24 = 2,969.22 : x
  2. Step 2: Convert to fraction form
    5,206.86/7,185.24 = 2,969.22/x
  3. Step 3: Cross multiply
    5,206.86x = 7,185.24 × 2,969.22
  4. Step 4: Simplify right side
    5,206.86x = 21,334,558.31
  5. Step 5: Solve for x
    x = 21,334,558.31/5,206.86
  6. Step 6: Final answer
    x = 4,097.39

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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.