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Finding the Fourth Proportional to 5,665.04, 7,817.92 and 3,427.32

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Solution

The fourth proportional to 5,665.04, 7,817.92 and 3,427.32 is: 4,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.04 : 7,817.92 = 3,427.32 : x
  2. Step 2: Convert to fraction form
    5,665.04/7,817.92 = 3,427.32/x
  3. Step 3: Cross multiply
    5,665.04x = 7,817.92 × 3,427.32
  4. Step 4: Simplify right side
    5,665.04x = 26,794,505.01
  5. Step 5: Solve for x
    x = 26,794,505.01/5,665.04
  6. Step 6: Final answer
    x = 4,729.80

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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.