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Finding the Fourth Proportional to 3,964.49, 5,946.83 and 1,332.08

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Solution

The fourth proportional to 3,964.49, 5,946.83 and 1,332.08 is: 1,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.49 : 5,946.83 = 1,332.08 : x
  2. Step 2: Convert to fraction form
    3,964.49/5,946.83 = 1,332.08/x
  3. Step 3: Cross multiply
    3,964.49x = 5,946.83 × 1,332.08
  4. Step 4: Simplify right side
    3,964.49x = 7,921,665.55
  5. Step 5: Solve for x
    x = 7,921,665.55/3,964.49
  6. Step 6: Final answer
    x = 1,998.16

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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.