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Finding the Fourth Proportional to 4,940.34, 6,817.35 and 2,844.42

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Solution

The fourth proportional to 4,940.34, 6,817.35 and 2,844.42 is: 3,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.34 : 6,817.35 = 2,844.42 : x
  2. Step 2: Convert to fraction form
    4,940.34/6,817.35 = 2,844.42/x
  3. Step 3: Cross multiply
    4,940.34x = 6,817.35 × 2,844.42
  4. Step 4: Simplify right side
    4,940.34x = 19,391,406.69
  5. Step 5: Solve for x
    x = 19,391,406.69/4,940.34
  6. Step 6: Final answer
    x = 3,925.12

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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.