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Finding the Fourth Proportional to 3,946.34, 5,923.11 and 1,999.88

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Solution

The fourth proportional to 3,946.34, 5,923.11 and 1,999.88 is: 3,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.34 : 5,923.11 = 1,999.88 : x
  2. Step 2: Convert to fraction form
    3,946.34/5,923.11 = 1,999.88/x
  3. Step 3: Cross multiply
    3,946.34x = 5,923.11 × 1,999.88
  4. Step 4: Simplify right side
    3,946.34x = 11,845,509.23
  5. Step 5: Solve for x
    x = 11,845,509.23/3,946.34
  6. Step 6: Final answer
    x = 3,001.64

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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.