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Finding the Fourth Proportional to 4,509.31, 6,222.84 and 2,622

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Solution

The fourth proportional to 4,509.31, 6,222.84 and 2,622 is: 3,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.31 : 6,222.84 = 2,622 : x
  2. Step 2: Convert to fraction form
    4,509.31/6,222.84 = 2,622/x
  3. Step 3: Cross multiply
    4,509.31x = 6,222.84 × 2,622
  4. Step 4: Simplify right side
    4,509.31x = 16,316,286.48
  5. Step 5: Solve for x
    x = 16,316,286.48/4,509.31
  6. Step 6: Final answer
    x = 3,618.36

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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.