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Finding the Fourth Proportional to 5,623.40, 8,428.26 and 3,980.42

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Solution

The fourth proportional to 5,623.40, 8,428.26 and 3,980.42 is: 5,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.40 : 8,428.26 = 3,980.42 : x
  2. Step 2: Convert to fraction form
    5,623.40/8,428.26 = 3,980.42/x
  3. Step 3: Cross multiply
    5,623.40x = 8,428.26 × 3,980.42
  4. Step 4: Simplify right side
    5,623.40x = 33,548,014.67
  5. Step 5: Solve for x
    x = 33,548,014.67/5,623.40
  6. Step 6: Final answer
    x = 5,965.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.