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Finding the Fourth Proportional to 3,583.59, 5,375.39 and 3,394.05

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Solution

The fourth proportional to 3,583.59, 5,375.39 and 3,394.05 is: 5,091.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.59 : 5,375.39 = 3,394.05 : x
  2. Step 2: Convert to fraction form
    3,583.59/5,375.39 = 3,394.05/x
  3. Step 3: Cross multiply
    3,583.59x = 5,375.39 × 3,394.05
  4. Step 4: Simplify right side
    3,583.59x = 18,244,325.46
  5. Step 5: Solve for x
    x = 18,244,325.46/3,583.59
  6. Step 6: Final answer
    x = 5,091.08

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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.