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Finding the Fourth Proportional to 3,385.40, 4,676.60 and 3,208.07

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Solution

The fourth proportional to 3,385.40, 4,676.60 and 3,208.07 is: 4,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.40 : 4,676.60 = 3,208.07 : x
  2. Step 2: Convert to fraction form
    3,385.40/4,676.60 = 3,208.07/x
  3. Step 3: Cross multiply
    3,385.40x = 4,676.60 × 3,208.07
  4. Step 4: Simplify right side
    3,385.40x = 15,002,820.74
  5. Step 5: Solve for x
    x = 15,002,820.74/3,385.40
  6. Step 6: Final answer
    x = 4,431.62

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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.