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Finding the Fourth Proportional to 3,157.56, 4,737.84 and 1,309.20

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Solution

The fourth proportional to 3,157.56, 4,737.84 and 1,309.20 is: 1,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.56 : 4,737.84 = 1,309.20 : x
  2. Step 2: Convert to fraction form
    3,157.56/4,737.84 = 1,309.20/x
  3. Step 3: Cross multiply
    3,157.56x = 4,737.84 × 1,309.20
  4. Step 4: Simplify right side
    3,157.56x = 6,202,780.13
  5. Step 5: Solve for x
    x = 6,202,780.13/3,157.56
  6. Step 6: Final answer
    x = 1,964.42

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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.