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Finding the Fourth Proportional to 3,654.93, 5,043.77 and 1,976.32

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Solution

The fourth proportional to 3,654.93, 5,043.77 and 1,976.32 is: 2,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.93 : 5,043.77 = 1,976.32 : x
  2. Step 2: Convert to fraction form
    3,654.93/5,043.77 = 1,976.32/x
  3. Step 3: Cross multiply
    3,654.93x = 5,043.77 × 1,976.32
  4. Step 4: Simplify right side
    3,654.93x = 9,968,068.43
  5. Step 5: Solve for x
    x = 9,968,068.43/3,654.93
  6. Step 6: Final answer
    x = 2,727.29

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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.