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Finding the Fourth Proportional to 3,516.25, 5,274.48 and 919.21

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Solution

The fourth proportional to 3,516.25, 5,274.48 and 919.21 is: 1,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.25 : 5,274.48 = 919.21 : x
  2. Step 2: Convert to fraction form
    3,516.25/5,274.48 = 919.21/x
  3. Step 3: Cross multiply
    3,516.25x = 5,274.48 × 919.21
  4. Step 4: Simplify right side
    3,516.25x = 4,848,354.76
  5. Step 5: Solve for x
    x = 4,848,354.76/3,516.25
  6. Step 6: Final answer
    x = 1,378.84

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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.