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Finding the Fourth Proportional to 3,845.97, 5,307.02 and 2,167.34

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Solution

The fourth proportional to 3,845.97, 5,307.02 and 2,167.34 is: 2,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.97 : 5,307.02 = 2,167.34 : x
  2. Step 2: Convert to fraction form
    3,845.97/5,307.02 = 2,167.34/x
  3. Step 3: Cross multiply
    3,845.97x = 5,307.02 × 2,167.34
  4. Step 4: Simplify right side
    3,845.97x = 11,502,079.36
  5. Step 5: Solve for x
    x = 11,502,079.36/3,845.97
  6. Step 6: Final answer
    x = 2,990.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.