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Finding the Fourth Proportional to 5,194.60, 7,169.16 and 2,957.20

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Solution

The fourth proportional to 5,194.60, 7,169.16 and 2,957.20 is: 4,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.60 : 7,169.16 = 2,957.20 : x
  2. Step 2: Convert to fraction form
    5,194.60/7,169.16 = 2,957.20/x
  3. Step 3: Cross multiply
    5,194.60x = 7,169.16 × 2,957.20
  4. Step 4: Simplify right side
    5,194.60x = 21,200,639.95
  5. Step 5: Solve for x
    x = 21,200,639.95/5,194.60
  6. Step 6: Final answer
    x = 4,081.28

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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.