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Finding the Fourth Proportional to 4,314.54, 6,455.40 and 2,667

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Solution

The fourth proportional to 4,314.54, 6,455.40 and 2,667 is: 3,990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.54 : 6,455.40 = 2,667 : x
  2. Step 2: Convert to fraction form
    4,314.54/6,455.40 = 2,667/x
  3. Step 3: Cross multiply
    4,314.54x = 6,455.40 × 2,667
  4. Step 4: Simplify right side
    4,314.54x = 17,216,551.80
  5. Step 5: Solve for x
    x = 17,216,551.80/4,314.54
  6. Step 6: Final answer
    x = 3,990.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.