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Finding the Fourth Proportional to 4,775.52, 7,163.36 and 1,697.44

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Solution

The fourth proportional to 4,775.52, 7,163.36 and 1,697.44 is: 2,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.52 : 7,163.36 = 1,697.44 : x
  2. Step 2: Convert to fraction form
    4,775.52/7,163.36 = 1,697.44/x
  3. Step 3: Cross multiply
    4,775.52x = 7,163.36 × 1,697.44
  4. Step 4: Simplify right side
    4,775.52x = 12,159,373.80
  5. Step 5: Solve for x
    x = 12,159,373.80/4,775.52
  6. Step 6: Final answer
    x = 2,546.19

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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.