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Finding the Fourth Proportional to 3,618.82, 4,994.06 and 2,047

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Solution

The fourth proportional to 3,618.82, 4,994.06 and 2,047 is: 2,824.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.82 : 4,994.06 = 2,047 : x
  2. Step 2: Convert to fraction form
    3,618.82/4,994.06 = 2,047/x
  3. Step 3: Cross multiply
    3,618.82x = 4,994.06 × 2,047
  4. Step 4: Simplify right side
    3,618.82x = 10,222,840.82
  5. Step 5: Solve for x
    x = 10,222,840.82/3,618.82
  6. Step 6: Final answer
    x = 2,824.91

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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.