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Finding the Fourth Proportional to 3,674.39, 5,512.73 and 1,077.35

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Solution

The fourth proportional to 3,674.39, 5,512.73 and 1,077.35 is: 1,616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.39 : 5,512.73 = 1,077.35 : x
  2. Step 2: Convert to fraction form
    3,674.39/5,512.73 = 1,077.35/x
  3. Step 3: Cross multiply
    3,674.39x = 5,512.73 × 1,077.35
  4. Step 4: Simplify right side
    3,674.39x = 5,939,106.72
  5. Step 5: Solve for x
    x = 5,939,106.72/3,674.39
  6. Step 6: Final answer
    x = 1,616.35

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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.