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Finding the Fourth Proportional to 6,902.42, 10,346.40 and 3,201.59

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Solution

The fourth proportional to 6,902.42, 10,346.40 and 3,201.59 is: 4,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.42 : 10,346.40 = 3,201.59 : x
  2. Step 2: Convert to fraction form
    6,902.42/10,346.40 = 3,201.59/x
  3. Step 3: Cross multiply
    6,902.42x = 10,346.40 × 3,201.59
  4. Step 4: Simplify right side
    6,902.42x = 33,124,956.64
  5. Step 5: Solve for x
    x = 33,124,956.64/6,902.42
  6. Step 6: Final answer
    x = 4,799.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.