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Finding the Fourth Proportional to 3,883.44, 5,827.29 and 1,804.43

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Solution

The fourth proportional to 3,883.44, 5,827.29 and 1,804.43 is: 2,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.44 : 5,827.29 = 1,804.43 : x
  2. Step 2: Convert to fraction form
    3,883.44/5,827.29 = 1,804.43/x
  3. Step 3: Cross multiply
    3,883.44x = 5,827.29 × 1,804.43
  4. Step 4: Simplify right side
    3,883.44x = 10,514,922.07
  5. Step 5: Solve for x
    x = 10,514,922.07/3,883.44
  6. Step 6: Final answer
    x = 2,707.63

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1.5x scale

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.