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Finding the Fourth Proportional to 3,433.89, 5,150.16 and 968.07

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Solution

The fourth proportional to 3,433.89, 5,150.16 and 968.07 is: 1,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.89 : 5,150.16 = 968.07 : x
  2. Step 2: Convert to fraction form
    3,433.89/5,150.16 = 968.07/x
  3. Step 3: Cross multiply
    3,433.89x = 5,150.16 × 968.07
  4. Step 4: Simplify right side
    3,433.89x = 4,985,715.39
  5. Step 5: Solve for x
    x = 4,985,715.39/3,433.89
  6. Step 6: Final answer
    x = 1,451.91

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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.