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Finding the Fourth Proportional to 5,185.46, 7,155.92 and 2,827.74

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Solution

The fourth proportional to 5,185.46, 7,155.92 and 2,827.74 is: 3,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.46 : 7,155.92 = 2,827.74 : x
  2. Step 2: Convert to fraction form
    5,185.46/7,155.92 = 2,827.74/x
  3. Step 3: Cross multiply
    5,185.46x = 7,155.92 × 2,827.74
  4. Step 4: Simplify right side
    5,185.46x = 20,235,081.22
  5. Step 5: Solve for x
    x = 20,235,081.22/5,185.46
  6. Step 6: Final answer
    x = 3,902.27

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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.