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Finding the Fourth Proportional to 4,643.76, 6,404.81 and 3,227.43

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Solution

The fourth proportional to 4,643.76, 6,404.81 and 3,227.43 is: 4,451.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.76 : 6,404.81 = 3,227.43 : x
  2. Step 2: Convert to fraction form
    4,643.76/6,404.81 = 3,227.43/x
  3. Step 3: Cross multiply
    4,643.76x = 6,404.81 × 3,227.43
  4. Step 4: Simplify right side
    4,643.76x = 20,671,075.94
  5. Step 5: Solve for x
    x = 20,671,075.94/4,643.76
  6. Step 6: Final answer
    x = 4,451.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.