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Finding the Fourth Proportional to 3,211.55, 4,809.46 and 2,652.84

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Solution

The fourth proportional to 3,211.55, 4,809.46 and 2,652.84 is: 3,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.55 : 4,809.46 = 2,652.84 : x
  2. Step 2: Convert to fraction form
    3,211.55/4,809.46 = 2,652.84/x
  3. Step 3: Cross multiply
    3,211.55x = 4,809.46 × 2,652.84
  4. Step 4: Simplify right side
    3,211.55x = 12,758,714.60
  5. Step 5: Solve for x
    x = 12,758,714.60/3,211.55
  6. Step 6: Final answer
    x = 3,972.76

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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.