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Finding the Fourth Proportional to 4,546.62, 6,820.02 and 1,773.18

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Solution

The fourth proportional to 4,546.62, 6,820.02 and 1,773.18 is: 2,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.62 : 6,820.02 = 1,773.18 : x
  2. Step 2: Convert to fraction form
    4,546.62/6,820.02 = 1,773.18/x
  3. Step 3: Cross multiply
    4,546.62x = 6,820.02 × 1,773.18
  4. Step 4: Simplify right side
    4,546.62x = 12,093,123.06
  5. Step 5: Solve for x
    x = 12,093,123.06/4,546.62
  6. Step 6: Final answer
    x = 2,659.81

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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.