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Finding the Fourth Proportional to 3,383.15, 5,074.61 and 917.91

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Solution

The fourth proportional to 3,383.15, 5,074.61 and 917.91 is: 1,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.15 : 5,074.61 = 917.91 : x
  2. Step 2: Convert to fraction form
    3,383.15/5,074.61 = 917.91/x
  3. Step 3: Cross multiply
    3,383.15x = 5,074.61 × 917.91
  4. Step 4: Simplify right side
    3,383.15x = 4,658,030.68
  5. Step 5: Solve for x
    x = 4,658,030.68/3,383.15
  6. Step 6: Final answer
    x = 1,376.83

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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.