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Finding the Fourth Proportional to 3,646.60, 5,469.90 and 3,306.40

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Solution

The fourth proportional to 3,646.60, 5,469.90 and 3,306.40 is: 4,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.60 : 5,469.90 = 3,306.40 : x
  2. Step 2: Convert to fraction form
    3,646.60/5,469.90 = 3,306.40/x
  3. Step 3: Cross multiply
    3,646.60x = 5,469.90 × 3,306.40
  4. Step 4: Simplify right side
    3,646.60x = 18,085,677.36
  5. Step 5: Solve for x
    x = 18,085,677.36/3,646.60
  6. Step 6: Final answer
    x = 4,959.60

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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.