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Finding the Fourth Proportional to 3,804.37, 5,253.26 and 3,178.24

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Solution

The fourth proportional to 3,804.37, 5,253.26 and 3,178.24 is: 4,388.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.37 : 5,253.26 = 3,178.24 : x
  2. Step 2: Convert to fraction form
    3,804.37/5,253.26 = 3,178.24/x
  3. Step 3: Cross multiply
    3,804.37x = 5,253.26 × 3,178.24
  4. Step 4: Simplify right side
    3,804.37x = 16,696,092.04
  5. Step 5: Solve for x
    x = 16,696,092.04/3,804.37
  6. Step 6: Final answer
    x = 4,388.66

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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.