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Finding the Fourth Proportional to 3,148.75, 4,723.97 and 2,804.44

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Solution

The fourth proportional to 3,148.75, 4,723.97 and 2,804.44 is: 4,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.75 : 4,723.97 = 2,804.44 : x
  2. Step 2: Convert to fraction form
    3,148.75/4,723.97 = 2,804.44/x
  3. Step 3: Cross multiply
    3,148.75x = 4,723.97 × 2,804.44
  4. Step 4: Simplify right side
    3,148.75x = 13,248,090.43
  5. Step 5: Solve for x
    x = 13,248,090.43/3,148.75
  6. Step 6: Final answer
    x = 4,207.41

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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.