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Finding the Fourth Proportional to 5,190.54, 7,766.31 and 4,909.20

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Solution

The fourth proportional to 5,190.54, 7,766.31 and 4,909.20 is: 7,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.54 : 7,766.31 = 4,909.20 : x
  2. Step 2: Convert to fraction form
    5,190.54/7,766.31 = 4,909.20/x
  3. Step 3: Cross multiply
    5,190.54x = 7,766.31 × 4,909.20
  4. Step 4: Simplify right side
    5,190.54x = 38,126,369.05
  5. Step 5: Solve for x
    x = 38,126,369.05/5,190.54
  6. Step 6: Final answer
    x = 7,345.36

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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.