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Finding the Fourth Proportional to 3,923.64, 5,419 and 2,662.50

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Solution

The fourth proportional to 3,923.64, 5,419 and 2,662.50 is: 3,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.64 : 5,419 = 2,662.50 : x
  2. Step 2: Convert to fraction form
    3,923.64/5,419 = 2,662.50/x
  3. Step 3: Cross multiply
    3,923.64x = 5,419 × 2,662.50
  4. Step 4: Simplify right side
    3,923.64x = 14,428,087.50
  5. Step 5: Solve for x
    x = 14,428,087.50/3,923.64
  6. Step 6: Final answer
    x = 3,677.22

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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.