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Finding the Fourth Proportional to 3,157.70, 4,736.46 and 1,283.54

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Solution

The fourth proportional to 3,157.70, 4,736.46 and 1,283.54 is: 1,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.70 : 4,736.46 = 1,283.54 : x
  2. Step 2: Convert to fraction form
    3,157.70/4,736.46 = 1,283.54/x
  3. Step 3: Cross multiply
    3,157.70x = 4,736.46 × 1,283.54
  4. Step 4: Simplify right side
    3,157.70x = 6,079,435.87
  5. Step 5: Solve for x
    x = 6,079,435.87/3,157.70
  6. Step 6: Final answer
    x = 1,925.27

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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.