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Finding the Fourth Proportional to 5,902.20, 8,137.35 and 4,835.97

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Solution

The fourth proportional to 5,902.20, 8,137.35 and 4,835.97 is: 6,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.20 : 8,137.35 = 4,835.97 : x
  2. Step 2: Convert to fraction form
    5,902.20/8,137.35 = 4,835.97/x
  3. Step 3: Cross multiply
    5,902.20x = 8,137.35 × 4,835.97
  4. Step 4: Simplify right side
    5,902.20x = 39,351,980.48
  5. Step 5: Solve for x
    x = 39,351,980.48/5,902.20
  6. Step 6: Final answer
    x = 6,667.34

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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.