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Finding the Fourth Proportional to 5,311.44, 7,968.24 and 1,848.96

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Solution

The fourth proportional to 5,311.44, 7,968.24 and 1,848.96 is: 2,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.44 : 7,968.24 = 1,848.96 : x
  2. Step 2: Convert to fraction form
    5,311.44/7,968.24 = 1,848.96/x
  3. Step 3: Cross multiply
    5,311.44x = 7,968.24 × 1,848.96
  4. Step 4: Simplify right side
    5,311.44x = 14,732,957.03
  5. Step 5: Solve for x
    x = 14,732,957.03/5,311.44
  6. Step 6: Final answer
    x = 2,773.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.