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Finding the Fourth Proportional to 3,692.32, 5,094.80 and 2,036

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Solution

The fourth proportional to 3,692.32, 5,094.80 and 2,036 is: 2,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.32 : 5,094.80 = 2,036 : x
  2. Step 2: Convert to fraction form
    3,692.32/5,094.80 = 2,036/x
  3. Step 3: Cross multiply
    3,692.32x = 5,094.80 × 2,036
  4. Step 4: Simplify right side
    3,692.32x = 10,373,012.80
  5. Step 5: Solve for x
    x = 10,373,012.80/3,692.32
  6. Step 6: Final answer
    x = 2,809.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.