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Finding the Fourth Proportional to 5,185.76, 7,156.42 and 2,827.90

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Solution

The fourth proportional to 5,185.76, 7,156.42 and 2,827.90 is: 3,902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.76 : 7,156.42 = 2,827.90 : x
  2. Step 2: Convert to fraction form
    5,185.76/7,156.42 = 2,827.90/x
  3. Step 3: Cross multiply
    5,185.76x = 7,156.42 × 2,827.90
  4. Step 4: Simplify right side
    5,185.76x = 20,237,640.12
  5. Step 5: Solve for x
    x = 20,237,640.12/5,185.76
  6. Step 6: Final answer
    x = 3,902.54

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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.