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Finding the Fourth Proportional to 4,974.74, 6,821.49 and 4,845.14

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Solution

The fourth proportional to 4,974.74, 6,821.49 and 4,845.14 is: 6,643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.74 : 6,821.49 = 4,845.14 : x
  2. Step 2: Convert to fraction form
    4,974.74/6,821.49 = 4,845.14/x
  3. Step 3: Cross multiply
    4,974.74x = 6,821.49 × 4,845.14
  4. Step 4: Simplify right side
    4,974.74x = 33,051,049.83
  5. Step 5: Solve for x
    x = 33,051,049.83/4,974.74
  6. Step 6: Final answer
    x = 6,643.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.