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Finding the Fourth Proportional to 5,194.88, 7,169.54 and 2,957.45

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Solution

The fourth proportional to 5,194.88, 7,169.54 and 2,957.45 is: 4,081.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.88 : 7,169.54 = 2,957.45 : x
  2. Step 2: Convert to fraction form
    5,194.88/7,169.54 = 2,957.45/x
  3. Step 3: Cross multiply
    5,194.88x = 7,169.54 × 2,957.45
  4. Step 4: Simplify right side
    5,194.88x = 21,203,559.21
  5. Step 5: Solve for x
    x = 21,203,559.21/5,194.88
  6. Step 6: Final answer
    x = 4,081.63

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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.