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Finding the Fourth Proportional to 4,006, 5,539.80 and 3,822.64

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Solution

The fourth proportional to 4,006, 5,539.80 and 3,822.64 is: 5,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006 : 5,539.80 = 3,822.64 : x
  2. Step 2: Convert to fraction form
    4,006/5,539.80 = 3,822.64/x
  3. Step 3: Cross multiply
    4,006x = 5,539.80 × 3,822.64
  4. Step 4: Simplify right side
    4,006x = 21,176,661.07
  5. Step 5: Solve for x
    x = 21,176,661.07/4,006
  6. Step 6: Final answer
    x = 5,286.24

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