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Finding the Fourth Proportional to 4,884.46, 7,329.42 and 1,964.81

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Solution

The fourth proportional to 4,884.46, 7,329.42 and 1,964.81 is: 2,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.46 : 7,329.42 = 1,964.81 : x
  2. Step 2: Convert to fraction form
    4,884.46/7,329.42 = 1,964.81/x
  3. Step 3: Cross multiply
    4,884.46x = 7,329.42 × 1,964.81
  4. Step 4: Simplify right side
    4,884.46x = 14,400,936.03
  5. Step 5: Solve for x
    x = 14,400,936.03/4,884.46
  6. Step 6: Final answer
    x = 2,948.32

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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.