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Finding the Fourth Proportional to 5,322.30, 8,023.31 and 4,965.50

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Solution

The fourth proportional to 5,322.30, 8,023.31 and 4,965.50 is: 7,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.30 : 8,023.31 = 4,965.50 : x
  2. Step 2: Convert to fraction form
    5,322.30/8,023.31 = 4,965.50/x
  3. Step 3: Cross multiply
    5,322.30x = 8,023.31 × 4,965.50
  4. Step 4: Simplify right side
    5,322.30x = 39,839,705.69
  5. Step 5: Solve for x
    x = 39,839,705.69/5,322.30
  6. Step 6: Final answer
    x = 7,485.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.