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Finding the Fourth Proportional to 3,416.38, 5,091.00 and 3,304.90

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Solution

The fourth proportional to 3,416.38, 5,091.00 and 3,304.90 is: 4,924.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.38 : 5,091.00 = 3,304.90 : x
  2. Step 2: Convert to fraction form
    3,416.38/5,091.00 = 3,304.90/x
  3. Step 3: Cross multiply
    3,416.38x = 5,091.00 × 3,304.90
  4. Step 4: Simplify right side
    3,416.38x = 16,825,258.46
  5. Step 5: Solve for x
    x = 16,825,258.46/3,416.38
  6. Step 6: Final answer
    x = 4,924.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.