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Finding the Fourth Proportional to 3,808.62, 5,714.01 and 1,211.76

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Solution

The fourth proportional to 3,808.62, 5,714.01 and 1,211.76 is: 1,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.62 : 5,714.01 = 1,211.76 : x
  2. Step 2: Convert to fraction form
    3,808.62/5,714.01 = 1,211.76/x
  3. Step 3: Cross multiply
    3,808.62x = 5,714.01 × 1,211.76
  4. Step 4: Simplify right side
    3,808.62x = 6,924,008.76
  5. Step 5: Solve for x
    x = 6,924,008.76/3,808.62
  6. Step 6: Final answer
    x = 1,817.98

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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.