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Finding the Fourth Proportional to 4,604.28, 6,354.56 and 4,322.80

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Solution

The fourth proportional to 4,604.28, 6,354.56 and 4,322.80 is: 5,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.28 : 6,354.56 = 4,322.80 : x
  2. Step 2: Convert to fraction form
    4,604.28/6,354.56 = 4,322.80/x
  3. Step 3: Cross multiply
    4,604.28x = 6,354.56 × 4,322.80
  4. Step 4: Simplify right side
    4,604.28x = 27,469,491.97
  5. Step 5: Solve for x
    x = 27,469,491.97/4,604.28
  6. Step 6: Final answer
    x = 5,966.08

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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.