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Finding the Fourth Proportional to 5,416.50, 7,474.77 and 2,932.50

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Solution

The fourth proportional to 5,416.50, 7,474.77 and 2,932.50 is: 4,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.50 : 7,474.77 = 2,932.50 : x
  2. Step 2: Convert to fraction form
    5,416.50/7,474.77 = 2,932.50/x
  3. Step 3: Cross multiply
    5,416.50x = 7,474.77 × 2,932.50
  4. Step 4: Simplify right side
    5,416.50x = 21,919,763.03
  5. Step 5: Solve for x
    x = 21,919,763.03/5,416.50
  6. Step 6: Final answer
    x = 4,046.85

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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.