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Finding the Fourth Proportional to 3,383.09, 5,074.62 and 917.90

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Solution

The fourth proportional to 3,383.09, 5,074.62 and 917.90 is: 1,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.09 : 5,074.62 = 917.90 : x
  2. Step 2: Convert to fraction form
    3,383.09/5,074.62 = 917.90/x
  3. Step 3: Cross multiply
    3,383.09x = 5,074.62 × 917.90
  4. Step 4: Simplify right side
    3,383.09x = 4,657,983.91
  5. Step 5: Solve for x
    x = 4,657,983.91/3,383.09
  6. Step 6: Final answer
    x = 1,376.84

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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.