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Finding the Fourth Proportional to 4,175.67, 5,763.05 and 2,383.14

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Solution

The fourth proportional to 4,175.67, 5,763.05 and 2,383.14 is: 3,289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.67 : 5,763.05 = 2,383.14 : x
  2. Step 2: Convert to fraction form
    4,175.67/5,763.05 = 2,383.14/x
  3. Step 3: Cross multiply
    4,175.67x = 5,763.05 × 2,383.14
  4. Step 4: Simplify right side
    4,175.67x = 13,734,154.98
  5. Step 5: Solve for x
    x = 13,734,154.98/4,175.67
  6. Step 6: Final answer
    x = 3,289.09

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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.