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Finding the Fourth Proportional to 3,994.69, 6,004.00 and 3,305.79

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Solution

The fourth proportional to 3,994.69, 6,004.00 and 3,305.79 is: 4,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.69 : 6,004.00 = 3,305.79 : x
  2. Step 2: Convert to fraction form
    3,994.69/6,004.00 = 3,305.79/x
  3. Step 3: Cross multiply
    3,994.69x = 6,004.00 × 3,305.79
  4. Step 4: Simplify right side
    3,994.69x = 19,847,941.11
  5. Step 5: Solve for x
    x = 19,847,941.11/3,994.69
  6. Step 6: Final answer
    x = 4,968.58

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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.