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Finding the Fourth Proportional to 3,976.54, 5,485.35 and 3,505.57

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Solution

The fourth proportional to 3,976.54, 5,485.35 and 3,505.57 is: 4,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.54 : 5,485.35 = 3,505.57 : x
  2. Step 2: Convert to fraction form
    3,976.54/5,485.35 = 3,505.57/x
  3. Step 3: Cross multiply
    3,976.54x = 5,485.35 × 3,505.57
  4. Step 4: Simplify right side
    3,976.54x = 19,229,278.40
  5. Step 5: Solve for x
    x = 19,229,278.40/3,976.54
  6. Step 6: Final answer
    x = 4,835.68

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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.