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Finding the Fourth Proportional to 4,175.92, 5,763 and 2,383.93

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Solution

The fourth proportional to 4,175.92, 5,763 and 2,383.93 is: 3,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.92 : 5,763 = 2,383.93 : x
  2. Step 2: Convert to fraction form
    4,175.92/5,763 = 2,383.93/x
  3. Step 3: Cross multiply
    4,175.92x = 5,763 × 2,383.93
  4. Step 4: Simplify right side
    4,175.92x = 13,738,588.59
  5. Step 5: Solve for x
    x = 13,738,588.59/4,175.92
  6. Step 6: Final answer
    x = 3,289.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.