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Finding the Fourth Proportional to 4,425.84, 6,643.47 and 3,257.21

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Solution

The fourth proportional to 4,425.84, 6,643.47 and 3,257.21 is: 4,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,425.84 : 6,643.47 = 3,257.21 : x
  2. Step 2: Convert to fraction form
    4,425.84/6,643.47 = 3,257.21/x
  3. Step 3: Cross multiply
    4,425.84x = 6,643.47 × 3,257.21
  4. Step 4: Simplify right side
    4,425.84x = 21,639,176.92
  5. Step 5: Solve for x
    x = 21,639,176.92/4,425.84
  6. Step 6: Final answer
    x = 4,889.28

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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.