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Finding the Fourth Proportional to 4,002, 6,001.47 and 1,921.41

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Solution

The fourth proportional to 4,002, 6,001.47 and 1,921.41 is: 2,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002 : 6,001.47 = 1,921.41 : x
  2. Step 2: Convert to fraction form
    4,002/6,001.47 = 1,921.41/x
  3. Step 3: Cross multiply
    4,002x = 6,001.47 × 1,921.41
  4. Step 4: Simplify right side
    4,002x = 11,531,284.47
  5. Step 5: Solve for x
    x = 11,531,284.47/4,002
  6. Step 6: Final answer
    x = 2,881.38

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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.