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Finding the Fourth Proportional to 4,238.84, 6,357.24 and 1,465.61

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Solution

The fourth proportional to 4,238.84, 6,357.24 and 1,465.61 is: 2,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.84 : 6,357.24 = 1,465.61 : x
  2. Step 2: Convert to fraction form
    4,238.84/6,357.24 = 1,465.61/x
  3. Step 3: Cross multiply
    4,238.84x = 6,357.24 × 1,465.61
  4. Step 4: Simplify right side
    4,238.84x = 9,317,234.52
  5. Step 5: Solve for x
    x = 9,317,234.52/4,238.84
  6. Step 6: Final answer
    x = 2,198.06

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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.