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Finding the Fourth Proportional to 4,235.65, 6,352.26 and 1,462.21

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Solution

The fourth proportional to 4,235.65, 6,352.26 and 1,462.21 is: 2,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.65 : 6,352.26 = 1,462.21 : x
  2. Step 2: Convert to fraction form
    4,235.65/6,352.26 = 1,462.21/x
  3. Step 3: Cross multiply
    4,235.65x = 6,352.26 × 1,462.21
  4. Step 4: Simplify right side
    4,235.65x = 9,288,338.09
  5. Step 5: Solve for x
    x = 9,288,338.09/4,235.65
  6. Step 6: Final answer
    x = 2,192.90

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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.