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Finding the Fourth Proportional to 4,133.28, 5,706 and 3,546.88

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Solution

The fourth proportional to 4,133.28, 5,706 and 3,546.88 is: 4,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.28 : 5,706 = 3,546.88 : x
  2. Step 2: Convert to fraction form
    4,133.28/5,706 = 3,546.88/x
  3. Step 3: Cross multiply
    4,133.28x = 5,706 × 3,546.88
  4. Step 4: Simplify right side
    4,133.28x = 20,238,497.28
  5. Step 5: Solve for x
    x = 20,238,497.28/4,133.28
  6. Step 6: Final answer
    x = 4,896.47

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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.