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Finding the Fourth Proportional to 3,157.64, 4,736.50 and 1,209.96

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Solution

The fourth proportional to 3,157.64, 4,736.50 and 1,209.96 is: 1,814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.64 : 4,736.50 = 1,209.96 : x
  2. Step 2: Convert to fraction form
    3,157.64/4,736.50 = 1,209.96/x
  3. Step 3: Cross multiply
    3,157.64x = 4,736.50 × 1,209.96
  4. Step 4: Simplify right side
    3,157.64x = 5,730,975.54
  5. Step 5: Solve for x
    x = 5,730,975.54/3,157.64
  6. Step 6: Final answer
    x = 1,814.96

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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.