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Finding the Fourth Proportional to 3,674.30, 5,512.26 and 1,077.44

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Solution

The fourth proportional to 3,674.30, 5,512.26 and 1,077.44 is: 1,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.30 : 5,512.26 = 1,077.44 : x
  2. Step 2: Convert to fraction form
    3,674.30/5,512.26 = 1,077.44/x
  3. Step 3: Cross multiply
    3,674.30x = 5,512.26 × 1,077.44
  4. Step 4: Simplify right side
    3,674.30x = 5,939,129.41
  5. Step 5: Solve for x
    x = 5,939,129.41/3,674.30
  6. Step 6: Final answer
    x = 1,616.40

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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.