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Finding the Fourth Proportional to 4,644.84, 6,969.78 and 3,081

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Solution

The fourth proportional to 4,644.84, 6,969.78 and 3,081 is: 4,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.84 : 6,969.78 = 3,081 : x
  2. Step 2: Convert to fraction form
    4,644.84/6,969.78 = 3,081/x
  3. Step 3: Cross multiply
    4,644.84x = 6,969.78 × 3,081
  4. Step 4: Simplify right side
    4,644.84x = 21,473,892.18
  5. Step 5: Solve for x
    x = 21,473,892.18/4,644.84
  6. Step 6: Final answer
    x = 4,623.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.