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Finding the Fourth Proportional to 4,274.96, 6,414.62 and 1,968.08

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Solution

The fourth proportional to 4,274.96, 6,414.62 and 1,968.08 is: 2,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.96 : 6,414.62 = 1,968.08 : x
  2. Step 2: Convert to fraction form
    4,274.96/6,414.62 = 1,968.08/x
  3. Step 3: Cross multiply
    4,274.96x = 6,414.62 × 1,968.08
  4. Step 4: Simplify right side
    4,274.96x = 12,624,485.33
  5. Step 5: Solve for x
    x = 12,624,485.33/4,274.96
  6. Step 6: Final answer
    x = 2,953.12

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Why These Related Problems?

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