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Finding the Fourth Proportional to 6,904.35, 10,353.02 and 3,394.62

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Solution

The fourth proportional to 6,904.35, 10,353.02 and 3,394.62 is: 5,090.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.35 : 10,353.02 = 3,394.62 : x
  2. Step 2: Convert to fraction form
    6,904.35/10,353.02 = 3,394.62/x
  3. Step 3: Cross multiply
    6,904.35x = 10,353.02 × 3,394.62
  4. Step 4: Simplify right side
    6,904.35x = 35,144,551.78
  5. Step 5: Solve for x
    x = 35,144,551.78/6,904.35
  6. Step 6: Final answer
    x = 5,090.20

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Why These Related Problems?

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