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Finding the Fourth Proportional to 4,185.57, 6,277.44 and 1,224

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Solution

The fourth proportional to 4,185.57, 6,277.44 and 1,224 is: 1,835.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.57 : 6,277.44 = 1,224 : x
  2. Step 2: Convert to fraction form
    4,185.57/6,277.44 = 1,224/x
  3. Step 3: Cross multiply
    4,185.57x = 6,277.44 × 1,224
  4. Step 4: Simplify right side
    4,185.57x = 7,683,586.56
  5. Step 5: Solve for x
    x = 7,683,586.56/4,185.57
  6. Step 6: Final answer
    x = 1,835.73

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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.