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Finding the Fourth Proportional to 4,969.97, 7,453.36 and 2,196.58

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Solution

The fourth proportional to 4,969.97, 7,453.36 and 2,196.58 is: 3,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.97 : 7,453.36 = 2,196.58 : x
  2. Step 2: Convert to fraction form
    4,969.97/7,453.36 = 2,196.58/x
  3. Step 3: Cross multiply
    4,969.97x = 7,453.36 × 2,196.58
  4. Step 4: Simplify right side
    4,969.97x = 16,371,908.53
  5. Step 5: Solve for x
    x = 16,371,908.53/4,969.97
  6. Step 6: Final answer
    x = 3,294.17

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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.