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Finding the Fourth Proportional to 3,794.98, 5,692.26 and 1,456.10

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Solution

The fourth proportional to 3,794.98, 5,692.26 and 1,456.10 is: 2,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.98 : 5,692.26 = 1,456.10 : x
  2. Step 2: Convert to fraction form
    3,794.98/5,692.26 = 1,456.10/x
  3. Step 3: Cross multiply
    3,794.98x = 5,692.26 × 1,456.10
  4. Step 4: Simplify right side
    3,794.98x = 8,288,514.02
  5. Step 5: Solve for x
    x = 8,288,514.02/3,794.98
  6. Step 6: Final answer
    x = 2,184.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.