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Finding the Fourth Proportional to 3,963.42, 5,946.75 and 1,332

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Solution

The fourth proportional to 3,963.42, 5,946.75 and 1,332 is: 1,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.42 : 5,946.75 = 1,332 : x
  2. Step 2: Convert to fraction form
    3,963.42/5,946.75 = 1,332/x
  3. Step 3: Cross multiply
    3,963.42x = 5,946.75 × 1,332
  4. Step 4: Simplify right side
    3,963.42x = 7,921,071
  5. Step 5: Solve for x
    x = 7,921,071/3,963.42
  6. Step 6: Final answer
    x = 1,998.54

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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.