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Finding the Fourth Proportional to 6,902.40, 10,351.62 and 3,390.24

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Solution

The fourth proportional to 6,902.40, 10,351.62 and 3,390.24 is: 5,084.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.40 : 10,351.62 = 3,390.24 : x
  2. Step 2: Convert to fraction form
    6,902.40/10,351.62 = 3,390.24/x
  3. Step 3: Cross multiply
    6,902.40x = 10,351.62 × 3,390.24
  4. Step 4: Simplify right side
    6,902.40x = 35,094,476.19
  5. Step 5: Solve for x
    x = 35,094,476.19/6,902.40
  6. Step 6: Final answer
    x = 5,084.39

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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.