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Finding the Fourth Proportional to 5,185.95, 7,156.51 and 2,828.04

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Solution

The fourth proportional to 5,185.95, 7,156.51 and 2,828.04 is: 3,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.95 : 7,156.51 = 2,828.04 : x
  2. Step 2: Convert to fraction form
    5,185.95/7,156.51 = 2,828.04/x
  3. Step 3: Cross multiply
    5,185.95x = 7,156.51 × 2,828.04
  4. Step 4: Simplify right side
    5,185.95x = 20,238,896.54
  5. Step 5: Solve for x
    x = 20,238,896.54/5,185.95
  6. Step 6: Final answer
    x = 3,902.64

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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.