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Finding the Fourth Proportional to 5,932.56, 8,178.12 and 5,089.20

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Solution

The fourth proportional to 5,932.56, 8,178.12 and 5,089.20 is: 7,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.56 : 8,178.12 = 5,089.20 : x
  2. Step 2: Convert to fraction form
    5,932.56/8,178.12 = 5,089.20/x
  3. Step 3: Cross multiply
    5,932.56x = 8,178.12 × 5,089.20
  4. Step 4: Simplify right side
    5,932.56x = 41,620,088.30
  5. Step 5: Solve for x
    x = 41,620,088.30/5,932.56
  6. Step 6: Final answer
    x = 7,015.54

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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.