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Finding the Fourth Proportional to 3,135.94, 4,704 and 944.44

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Solution

The fourth proportional to 3,135.94, 4,704 and 944.44 is: 1,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.94 : 4,704 = 944.44 : x
  2. Step 2: Convert to fraction form
    3,135.94/4,704 = 944.44/x
  3. Step 3: Cross multiply
    3,135.94x = 4,704 × 944.44
  4. Step 4: Simplify right side
    3,135.94x = 4,442,645.76
  5. Step 5: Solve for x
    x = 4,442,645.76/3,135.94
  6. Step 6: Final answer
    x = 1,416.69

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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.