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Finding the Fourth Proportional to 4,546.44, 6,805.05 and 2,352.15

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Solution

The fourth proportional to 4,546.44, 6,805.05 and 2,352.15 is: 3,520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.44 : 6,805.05 = 2,352.15 : x
  2. Step 2: Convert to fraction form
    4,546.44/6,805.05 = 2,352.15/x
  3. Step 3: Cross multiply
    4,546.44x = 6,805.05 × 2,352.15
  4. Step 4: Simplify right side
    4,546.44x = 16,006,498.36
  5. Step 5: Solve for x
    x = 16,006,498.36/4,546.44
  6. Step 6: Final answer
    x = 3,520.67

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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.