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Finding the Fourth Proportional to 5,809.73, 8,017.46 and 3,157.14

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Solution

The fourth proportional to 5,809.73, 8,017.46 and 3,157.14 is: 4,356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.73 : 8,017.46 = 3,157.14 : x
  2. Step 2: Convert to fraction form
    5,809.73/8,017.46 = 3,157.14/x
  3. Step 3: Cross multiply
    5,809.73x = 8,017.46 × 3,157.14
  4. Step 4: Simplify right side
    5,809.73x = 25,312,287.54
  5. Step 5: Solve for x
    x = 25,312,287.54/5,809.73
  6. Step 6: Final answer
    x = 4,356.88

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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.