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Finding the Fourth Proportional to 3,662.76, 5,054.62 and 1,984.18

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Solution

The fourth proportional to 3,662.76, 5,054.62 and 1,984.18 is: 2,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.76 : 5,054.62 = 1,984.18 : x
  2. Step 2: Convert to fraction form
    3,662.76/5,054.62 = 1,984.18/x
  3. Step 3: Cross multiply
    3,662.76x = 5,054.62 × 1,984.18
  4. Step 4: Simplify right side
    3,662.76x = 10,029,275.91
  5. Step 5: Solve for x
    x = 10,029,275.91/3,662.76
  6. Step 6: Final answer
    x = 2,738.17

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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.