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Finding the Fourth Proportional to 3,694.95, 5,094.50 and 3,170.07

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Solution

The fourth proportional to 3,694.95, 5,094.50 and 3,170.07 is: 4,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.95 : 5,094.50 = 3,170.07 : x
  2. Step 2: Convert to fraction form
    3,694.95/5,094.50 = 3,170.07/x
  3. Step 3: Cross multiply
    3,694.95x = 5,094.50 × 3,170.07
  4. Step 4: Simplify right side
    3,694.95x = 16,149,905.76
  5. Step 5: Solve for x
    x = 16,149,905.76/3,694.95
  6. Step 6: Final answer
    x = 4,370.80

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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.