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Finding the Fourth Proportional to 3,845.84, 5,306.36 and 3,005.06

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Solution

The fourth proportional to 3,845.84, 5,306.36 and 3,005.06 is: 4,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.84 : 5,306.36 = 3,005.06 : x
  2. Step 2: Convert to fraction form
    3,845.84/5,306.36 = 3,005.06/x
  3. Step 3: Cross multiply
    3,845.84x = 5,306.36 × 3,005.06
  4. Step 4: Simplify right side
    3,845.84x = 15,945,930.18
  5. Step 5: Solve for x
    x = 15,945,930.18/3,845.84
  6. Step 6: Final answer
    x = 4,146.28

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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.