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Finding the Fourth Proportional to 3,799.72, 5,243.42 and 2,804.64

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Solution

The fourth proportional to 3,799.72, 5,243.42 and 2,804.64 is: 3,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.72 : 5,243.42 = 2,804.64 : x
  2. Step 2: Convert to fraction form
    3,799.72/5,243.42 = 2,804.64/x
  3. Step 3: Cross multiply
    3,799.72x = 5,243.42 × 2,804.64
  4. Step 4: Simplify right side
    3,799.72x = 14,705,905.47
  5. Step 5: Solve for x
    x = 14,705,905.47/3,799.72
  6. Step 6: Final answer
    x = 3,870.26

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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.