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Finding the Fourth Proportional to 4,692.49, 7,041.67 and 1,919.18

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Solution

The fourth proportional to 4,692.49, 7,041.67 and 1,919.18 is: 2,879.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.49 : 7,041.67 = 1,919.18 : x
  2. Step 2: Convert to fraction form
    4,692.49/7,041.67 = 1,919.18/x
  3. Step 3: Cross multiply
    4,692.49x = 7,041.67 × 1,919.18
  4. Step 4: Simplify right side
    4,692.49x = 13,514,245.04
  5. Step 5: Solve for x
    x = 13,514,245.04/4,692.49
  6. Step 6: Final answer
    x = 2,879.97

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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.