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Finding the Fourth Proportional to 3,994.36, 5,992.69 and 1,653.93

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Solution

The fourth proportional to 3,994.36, 5,992.69 and 1,653.93 is: 2,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.36 : 5,992.69 = 1,653.93 : x
  2. Step 2: Convert to fraction form
    3,994.36/5,992.69 = 1,653.93/x
  3. Step 3: Cross multiply
    3,994.36x = 5,992.69 × 1,653.93
  4. Step 4: Simplify right side
    3,994.36x = 9,911,489.77
  5. Step 5: Solve for x
    x = 9,911,489.77/3,994.36
  6. Step 6: Final answer
    x = 2,481.37

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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.