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Finding the Fourth Proportional to 3,966.39, 5,946.23 and 1,989.59

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Solution

The fourth proportional to 3,966.39, 5,946.23 and 1,989.59 is: 2,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.39 : 5,946.23 = 1,989.59 : x
  2. Step 2: Convert to fraction form
    3,966.39/5,946.23 = 1,989.59/x
  3. Step 3: Cross multiply
    3,966.39x = 5,946.23 × 1,989.59
  4. Step 4: Simplify right side
    3,966.39x = 11,830,520.07
  5. Step 5: Solve for x
    x = 11,830,520.07/3,966.39
  6. Step 6: Final answer
    x = 2,982.69

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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.