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Finding the Fourth Proportional to 3,383.67, 5,074.83 and 917.82

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Solution

The fourth proportional to 3,383.67, 5,074.83 and 917.82 is: 1,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.67 : 5,074.83 = 917.82 : x
  2. Step 2: Convert to fraction form
    3,383.67/5,074.83 = 917.82/x
  3. Step 3: Cross multiply
    3,383.67x = 5,074.83 × 917.82
  4. Step 4: Simplify right side
    3,383.67x = 4,657,780.47
  5. Step 5: Solve for x
    x = 4,657,780.47/3,383.67
  6. Step 6: Final answer
    x = 1,376.55

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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.