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Finding the Fourth Proportional to 4,673.40, 6,999.30 and 3,204.60

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Solution

The fourth proportional to 4,673.40, 6,999.30 and 3,204.60 is: 4,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.40 : 6,999.30 = 3,204.60 : x
  2. Step 2: Convert to fraction form
    4,673.40/6,999.30 = 3,204.60/x
  3. Step 3: Cross multiply
    4,673.40x = 6,999.30 × 3,204.60
  4. Step 4: Simplify right side
    4,673.40x = 22,429,956.78
  5. Step 5: Solve for x
    x = 22,429,956.78/4,673.40
  6. Step 6: Final answer
    x = 4,799.49

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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.