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Finding the Fourth Proportional to 3,992.83, 5,990.43 and 2,046.40

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Solution

The fourth proportional to 3,992.83, 5,990.43 and 2,046.40 is: 3,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.83 : 5,990.43 = 2,046.40 : x
  2. Step 2: Convert to fraction form
    3,992.83/5,990.43 = 2,046.40/x
  3. Step 3: Cross multiply
    3,992.83x = 5,990.43 × 2,046.40
  4. Step 4: Simplify right side
    3,992.83x = 12,258,815.95
  5. Step 5: Solve for x
    x = 12,258,815.95/3,992.83
  6. Step 6: Final answer
    x = 3,070.21

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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.