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Finding the Fourth Proportional to 5,896.90, 8,845.57 and 1,948.25

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Solution

The fourth proportional to 5,896.90, 8,845.57 and 1,948.25 is: 2,922.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.90 : 8,845.57 = 1,948.25 : x
  2. Step 2: Convert to fraction form
    5,896.90/8,845.57 = 1,948.25/x
  3. Step 3: Cross multiply
    5,896.90x = 8,845.57 × 1,948.25
  4. Step 4: Simplify right side
    5,896.90x = 17,233,406.30
  5. Step 5: Solve for x
    x = 17,233,406.30/5,896.90
  6. Step 6: Final answer
    x = 2,922.45

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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.