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Finding the Fourth Proportional to 3,157.44, 4,737.14 and 1,309.42

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Solution

The fourth proportional to 3,157.44, 4,737.14 and 1,309.42 is: 1,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.44 : 4,737.14 = 1,309.42 : x
  2. Step 2: Convert to fraction form
    3,157.44/4,737.14 = 1,309.42/x
  3. Step 3: Cross multiply
    3,157.44x = 4,737.14 × 1,309.42
  4. Step 4: Simplify right side
    3,157.44x = 6,202,905.86
  5. Step 5: Solve for x
    x = 6,202,905.86/3,157.44
  6. Step 6: Final answer
    x = 1,964.54

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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.