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Finding the Fourth Proportional to 3,618.91, 4,994.24 and 2,047

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Solution

The fourth proportional to 3,618.91, 4,994.24 and 2,047 is: 2,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.91 : 4,994.24 = 2,047 : x
  2. Step 2: Convert to fraction form
    3,618.91/4,994.24 = 2,047/x
  3. Step 3: Cross multiply
    3,618.91x = 4,994.24 × 2,047
  4. Step 4: Simplify right side
    3,618.91x = 10,223,209.28
  5. Step 5: Solve for x
    x = 10,223,209.28/3,618.91
  6. Step 6: Final answer
    x = 2,824.94

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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.