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Finding the Fourth Proportional to 3,798.33, 5,692.53 and 1,947.87

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Solution

The fourth proportional to 3,798.33, 5,692.53 and 1,947.87 is: 2,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.33 : 5,692.53 = 1,947.87 : x
  2. Step 2: Convert to fraction form
    3,798.33/5,692.53 = 1,947.87/x
  3. Step 3: Cross multiply
    3,798.33x = 5,692.53 × 1,947.87
  4. Step 4: Simplify right side
    3,798.33x = 11,088,308.41
  5. Step 5: Solve for x
    x = 11,088,308.41/3,798.33
  6. Step 6: Final answer
    x = 2,919.26

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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.