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Finding the Fourth Proportional to 3,135.96, 4,704.72 and 944.73

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Solution

The fourth proportional to 3,135.96, 4,704.72 and 944.73 is: 1,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.96 : 4,704.72 = 944.73 : x
  2. Step 2: Convert to fraction form
    3,135.96/4,704.72 = 944.73/x
  3. Step 3: Cross multiply
    3,135.96x = 4,704.72 × 944.73
  4. Step 4: Simplify right side
    3,135.96x = 4,444,690.13
  5. Step 5: Solve for x
    x = 4,444,690.13/3,135.96
  6. Step 6: Final answer
    x = 1,417.33

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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.