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Finding the Fourth Proportional to 3,976.94, 5,966.97 and 3,654.02

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Solution

The fourth proportional to 3,976.94, 5,966.97 and 3,654.02 is: 5,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.94 : 5,966.97 = 3,654.02 : x
  2. Step 2: Convert to fraction form
    3,976.94/5,966.97 = 3,654.02/x
  3. Step 3: Cross multiply
    3,976.94x = 5,966.97 × 3,654.02
  4. Step 4: Simplify right side
    3,976.94x = 21,803,427.72
  5. Step 5: Solve for x
    x = 21,803,427.72/3,976.94
  6. Step 6: Final answer
    x = 5,482.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.