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Finding the Fourth Proportional to 5,169.42, 7,754.54 and 3,798.90

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Solution

The fourth proportional to 5,169.42, 7,754.54 and 3,798.90 is: 5,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.42 : 7,754.54 = 3,798.90 : x
  2. Step 2: Convert to fraction form
    5,169.42/7,754.54 = 3,798.90/x
  3. Step 3: Cross multiply
    5,169.42x = 7,754.54 × 3,798.90
  4. Step 4: Simplify right side
    5,169.42x = 29,458,703.01
  5. Step 5: Solve for x
    x = 29,458,703.01/5,169.42
  6. Step 6: Final answer
    x = 5,698.65

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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.