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Finding the Fourth Proportional to 5,169.02, 7,134.40 and 3,400.80

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Solution

The fourth proportional to 5,169.02, 7,134.40 and 3,400.80 is: 4,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.02 : 7,134.40 = 3,400.80 : x
  2. Step 2: Convert to fraction form
    5,169.02/7,134.40 = 3,400.80/x
  3. Step 3: Cross multiply
    5,169.02x = 7,134.40 × 3,400.80
  4. Step 4: Simplify right side
    5,169.02x = 24,262,667.52
  5. Step 5: Solve for x
    x = 24,262,667.52/5,169.02
  6. Step 6: Final answer
    x = 4,693.86

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