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Finding the Fourth Proportional to 5,823.75, 8,735.69 and 2,491.54

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Solution

The fourth proportional to 5,823.75, 8,735.69 and 2,491.54 is: 3,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.75 : 8,735.69 = 2,491.54 : x
  2. Step 2: Convert to fraction form
    5,823.75/8,735.69 = 2,491.54/x
  3. Step 3: Cross multiply
    5,823.75x = 8,735.69 × 2,491.54
  4. Step 4: Simplify right side
    5,823.75x = 21,765,321.06
  5. Step 5: Solve for x
    x = 21,765,321.06/5,823.75
  6. Step 6: Final answer
    x = 3,737.34

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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.