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Finding the Fourth Proportional to 4,974.11, 6,864.14 and 2,705.42

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Solution

The fourth proportional to 4,974.11, 6,864.14 and 2,705.42 is: 3,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.11 : 6,864.14 = 2,705.42 : x
  2. Step 2: Convert to fraction form
    4,974.11/6,864.14 = 2,705.42/x
  3. Step 3: Cross multiply
    4,974.11x = 6,864.14 × 2,705.42
  4. Step 4: Simplify right side
    4,974.11x = 18,570,410.64
  5. Step 5: Solve for x
    x = 18,570,410.64/4,974.11
  6. Step 6: Final answer
    x = 3,733.41

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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.