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Finding the Fourth Proportional to 4,507.87, 6,761.40 and 3,197.24

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Solution

The fourth proportional to 4,507.87, 6,761.40 and 3,197.24 is: 4,795.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.87 : 6,761.40 = 3,197.24 : x
  2. Step 2: Convert to fraction form
    4,507.87/6,761.40 = 3,197.24/x
  3. Step 3: Cross multiply
    4,507.87x = 6,761.40 × 3,197.24
  4. Step 4: Simplify right side
    4,507.87x = 21,617,818.54
  5. Step 5: Solve for x
    x = 21,617,818.54/4,507.87
  6. Step 6: Final answer
    x = 4,795.57

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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.