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Finding the Fourth Proportional to 3,845.84, 5,284.24 and 3,058.52

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Solution

The fourth proportional to 3,845.84, 5,284.24 and 3,058.52 is: 4,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.84 : 5,284.24 = 3,058.52 : x
  2. Step 2: Convert to fraction form
    3,845.84/5,284.24 = 3,058.52/x
  3. Step 3: Cross multiply
    3,845.84x = 5,284.24 × 3,058.52
  4. Step 4: Simplify right side
    3,845.84x = 16,161,953.72
  5. Step 5: Solve for x
    x = 16,161,953.72/3,845.84
  6. Step 6: Final answer
    x = 4,202.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.