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Finding the Fourth Proportional to 3,794.01, 5,692.35 and 1,946.00

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Solution

The fourth proportional to 3,794.01, 5,692.35 and 1,946.00 is: 2,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.01 : 5,692.35 = 1,946.00 : x
  2. Step 2: Convert to fraction form
    3,794.01/5,692.35 = 1,946.00/x
  3. Step 3: Cross multiply
    3,794.01x = 5,692.35 × 1,946.00
  4. Step 4: Simplify right side
    3,794.01x = 11,077,284.64
  5. Step 5: Solve for x
    x = 11,077,284.64/3,794.01
  6. Step 6: Final answer
    x = 2,919.68

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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.