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Finding the Fourth Proportional to 5,194.88, 7,166.43 and 3,776.36

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Solution

The fourth proportional to 5,194.88, 7,166.43 and 3,776.36 is: 5,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.88 : 7,166.43 = 3,776.36 : x
  2. Step 2: Convert to fraction form
    5,194.88/7,166.43 = 3,776.36/x
  3. Step 3: Cross multiply
    5,194.88x = 7,166.43 × 3,776.36
  4. Step 4: Simplify right side
    5,194.88x = 27,063,019.59
  5. Step 5: Solve for x
    x = 27,063,019.59/5,194.88
  6. Step 6: Final answer
    x = 5,209.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.