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Finding the Fourth Proportional to 3,548.23, 4,896.71 and 1,976.32

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Solution

The fourth proportional to 3,548.23, 4,896.71 and 1,976.32 is: 2,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.23 : 4,896.71 = 1,976.32 : x
  2. Step 2: Convert to fraction form
    3,548.23/4,896.71 = 1,976.32/x
  3. Step 3: Cross multiply
    3,548.23x = 4,896.71 × 1,976.32
  4. Step 4: Simplify right side
    3,548.23x = 9,677,465.91
  5. Step 5: Solve for x
    x = 9,677,465.91/3,548.23
  6. Step 6: Final answer
    x = 2,727.41

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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.