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Finding the Fourth Proportional to 5,162.70, 7,129.24 and 3,754.50

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Solution

The fourth proportional to 5,162.70, 7,129.24 and 3,754.50 is: 5,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.70 : 7,129.24 = 3,754.50 : x
  2. Step 2: Convert to fraction form
    5,162.70/7,129.24 = 3,754.50/x
  3. Step 3: Cross multiply
    5,162.70x = 7,129.24 × 3,754.50
  4. Step 4: Simplify right side
    5,162.70x = 26,766,731.58
  5. Step 5: Solve for x
    x = 26,766,731.58/5,162.70
  6. Step 6: Final answer
    x = 5,184.64

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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.