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Finding the Fourth Proportional to 5,804.33, 8,011.91 and 3,787.97

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Solution

The fourth proportional to 5,804.33, 8,011.91 and 3,787.97 is: 5,228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.33 : 8,011.91 = 3,787.97 : x
  2. Step 2: Convert to fraction form
    5,804.33/8,011.91 = 3,787.97/x
  3. Step 3: Cross multiply
    5,804.33x = 8,011.91 × 3,787.97
  4. Step 4: Simplify right side
    5,804.33x = 30,348,844.13
  5. Step 5: Solve for x
    x = 30,348,844.13/5,804.33
  6. Step 6: Final answer
    x = 5,228.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.