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Finding the Fourth Proportional to 3,835.92, 5,292.63 and 2,157

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Solution

The fourth proportional to 3,835.92, 5,292.63 and 2,157 is: 2,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.92 : 5,292.63 = 2,157 : x
  2. Step 2: Convert to fraction form
    3,835.92/5,292.63 = 2,157/x
  3. Step 3: Cross multiply
    3,835.92x = 5,292.63 × 2,157
  4. Step 4: Simplify right side
    3,835.92x = 11,416,202.91
  5. Step 5: Solve for x
    x = 11,416,202.91/3,835.92
  6. Step 6: Final answer
    x = 2,976.13

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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.