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Finding the Fourth Proportional to 4,364.70, 6,546.97 and 1,077.78

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Solution

The fourth proportional to 4,364.70, 6,546.97 and 1,077.78 is: 1,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.70 : 6,546.97 = 1,077.78 : x
  2. Step 2: Convert to fraction form
    4,364.70/6,546.97 = 1,077.78/x
  3. Step 3: Cross multiply
    4,364.70x = 6,546.97 × 1,077.78
  4. Step 4: Simplify right side
    4,364.70x = 7,056,219.22
  5. Step 5: Solve for x
    x = 7,056,219.22/4,364.70
  6. Step 6: Final answer
    x = 1,616.66

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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.