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Finding the Fourth Proportional to 3,429.33, 5,143.95 and 964.02

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Solution

The fourth proportional to 3,429.33, 5,143.95 and 964.02 is: 1,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.33 : 5,143.95 = 964.02 : x
  2. Step 2: Convert to fraction form
    3,429.33/5,143.95 = 964.02/x
  3. Step 3: Cross multiply
    3,429.33x = 5,143.95 × 964.02
  4. Step 4: Simplify right side
    3,429.33x = 4,958,870.68
  5. Step 5: Solve for x
    x = 4,958,870.68/3,429.33
  6. Step 6: Final answer
    x = 1,446.02

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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.