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Finding the Fourth Proportional to 4,974.34, 6,864.54 and 2,736.25

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Solution

The fourth proportional to 4,974.34, 6,864.54 and 2,736.25 is: 3,776.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.34 : 6,864.54 = 2,736.25 : x
  2. Step 2: Convert to fraction form
    4,974.34/6,864.54 = 2,736.25/x
  3. Step 3: Cross multiply
    4,974.34x = 6,864.54 × 2,736.25
  4. Step 4: Simplify right side
    4,974.34x = 18,783,097.58
  5. Step 5: Solve for x
    x = 18,783,097.58/4,974.34
  6. Step 6: Final answer
    x = 3,776.00

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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.