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Finding the Fourth Proportional to 3,999.90, 6,004.22 and 1,661.55

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Solution

The fourth proportional to 3,999.90, 6,004.22 and 1,661.55 is: 2,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.90 : 6,004.22 = 1,661.55 : x
  2. Step 2: Convert to fraction form
    3,999.90/6,004.22 = 1,661.55/x
  3. Step 3: Cross multiply
    3,999.90x = 6,004.22 × 1,661.55
  4. Step 4: Simplify right side
    3,999.90x = 9,976,303.43
  5. Step 5: Solve for x
    x = 9,976,303.43/3,999.90
  6. Step 6: Final answer
    x = 2,494.14

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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.