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Finding the Fourth Proportional to 4,201.97, 6,303.24 and 1,282.32

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Solution

The fourth proportional to 4,201.97, 6,303.24 and 1,282.32 is: 1,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.97 : 6,303.24 = 1,282.32 : x
  2. Step 2: Convert to fraction form
    4,201.97/6,303.24 = 1,282.32/x
  3. Step 3: Cross multiply
    4,201.97x = 6,303.24 × 1,282.32
  4. Step 4: Simplify right side
    4,201.97x = 8,082,770.72
  5. Step 5: Solve for x
    x = 8,082,770.72/4,201.97
  6. Step 6: Final answer
    x = 1,923.57

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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.