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Finding the Fourth Proportional to 4,952.45, 7,429.03 and 1,442.48

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Solution

The fourth proportional to 4,952.45, 7,429.03 and 1,442.48 is: 2,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.45 : 7,429.03 = 1,442.48 : x
  2. Step 2: Convert to fraction form
    4,952.45/7,429.03 = 1,442.48/x
  3. Step 3: Cross multiply
    4,952.45x = 7,429.03 × 1,442.48
  4. Step 4: Simplify right side
    4,952.45x = 10,716,186.44
  5. Step 5: Solve for x
    x = 10,716,186.44/4,952.45
  6. Step 6: Final answer
    x = 2,163.81

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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.