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Finding the Fourth Proportional to 3,883.66, 5,323.31 and 3,828.98

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Solution

The fourth proportional to 3,883.66, 5,323.31 and 3,828.98 is: 5,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.66 : 5,323.31 = 3,828.98 : x
  2. Step 2: Convert to fraction form
    3,883.66/5,323.31 = 3,828.98/x
  3. Step 3: Cross multiply
    3,883.66x = 5,323.31 × 3,828.98
  4. Step 4: Simplify right side
    3,883.66x = 20,382,828.38
  5. Step 5: Solve for x
    x = 20,382,828.38/3,883.66
  6. Step 6: Final answer
    x = 5,248.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.