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Finding the Fourth Proportional to 3,433.98, 5,151.29 and 968.84

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Solution

The fourth proportional to 3,433.98, 5,151.29 and 968.84 is: 1,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.98 : 5,151.29 = 968.84 : x
  2. Step 2: Convert to fraction form
    3,433.98/5,151.29 = 968.84/x
  3. Step 3: Cross multiply
    3,433.98x = 5,151.29 × 968.84
  4. Step 4: Simplify right side
    3,433.98x = 4,990,764.52
  5. Step 5: Solve for x
    x = 4,990,764.52/3,433.98
  6. Step 6: Final answer
    x = 1,453.35

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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.