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Finding the Fourth Proportional to 5,195.40, 7,169.84 and 2,957.46

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Solution

The fourth proportional to 5,195.40, 7,169.84 and 2,957.46 is: 4,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.40 : 7,169.84 = 2,957.46 : x
  2. Step 2: Convert to fraction form
    5,195.40/7,169.84 = 2,957.46/x
  3. Step 3: Cross multiply
    5,195.40x = 7,169.84 × 2,957.46
  4. Step 4: Simplify right side
    5,195.40x = 21,204,515.01
  5. Step 5: Solve for x
    x = 21,204,515.01/5,195.40
  6. Step 6: Final answer
    x = 4,081.40

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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.