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Finding the Fourth Proportional to 5,185.75, 7,156.09 and 2,827.87

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Solution

The fourth proportional to 5,185.75, 7,156.09 and 2,827.87 is: 3,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.75 : 7,156.09 = 2,827.87 : x
  2. Step 2: Convert to fraction form
    5,185.75/7,156.09 = 2,827.87/x
  3. Step 3: Cross multiply
    5,185.75x = 7,156.09 × 2,827.87
  4. Step 4: Simplify right side
    5,185.75x = 20,236,492.23
  5. Step 5: Solve for x
    x = 20,236,492.23/5,185.75
  6. Step 6: Final answer
    x = 3,902.33

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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.