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Finding the Fourth Proportional to 3,966.40, 5,474.25 and 2,287.48

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Solution

The fourth proportional to 3,966.40, 5,474.25 and 2,287.48 is: 3,157.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.40 : 5,474.25 = 2,287.48 : x
  2. Step 2: Convert to fraction form
    3,966.40/5,474.25 = 2,287.48/x
  3. Step 3: Cross multiply
    3,966.40x = 5,474.25 × 2,287.48
  4. Step 4: Simplify right side
    3,966.40x = 12,522,237.39
  5. Step 5: Solve for x
    x = 12,522,237.39/3,966.40
  6. Step 6: Final answer
    x = 3,157.08

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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.