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Finding the Fourth Proportional to 3,302.16, 4,548.91 and 2,828.50

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Solution

The fourth proportional to 3,302.16, 4,548.91 and 2,828.50 is: 3,896.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.16 : 4,548.91 = 2,828.50 : x
  2. Step 2: Convert to fraction form
    3,302.16/4,548.91 = 2,828.50/x
  3. Step 3: Cross multiply
    3,302.16x = 4,548.91 × 2,828.50
  4. Step 4: Simplify right side
    3,302.16x = 12,866,591.94
  5. Step 5: Solve for x
    x = 12,866,591.94/3,302.16
  6. Step 6: Final answer
    x = 3,896.42

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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.