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Finding the Fourth Proportional to 3,157.80, 4,735.42 and 1,105.32

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Solution

The fourth proportional to 3,157.80, 4,735.42 and 1,105.32 is: 1,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.80 : 4,735.42 = 1,105.32 : x
  2. Step 2: Convert to fraction form
    3,157.80/4,735.42 = 1,105.32/x
  3. Step 3: Cross multiply
    3,157.80x = 4,735.42 × 1,105.32
  4. Step 4: Simplify right side
    3,157.80x = 5,234,154.43
  5. Step 5: Solve for x
    x = 5,234,154.43/3,157.80
  6. Step 6: Final answer
    x = 1,657.53

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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.