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Finding the Fourth Proportional to 3,382.89, 5,074.29 and 917.94

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Solution

The fourth proportional to 3,382.89, 5,074.29 and 917.94 is: 1,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.89 : 5,074.29 = 917.94 : x
  2. Step 2: Convert to fraction form
    3,382.89/5,074.29 = 917.94/x
  3. Step 3: Cross multiply
    3,382.89x = 5,074.29 × 917.94
  4. Step 4: Simplify right side
    3,382.89x = 4,657,893.76
  5. Step 5: Solve for x
    x = 4,657,893.76/3,382.89
  6. Step 6: Final answer
    x = 1,376.90

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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.