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Finding the Fourth Proportional to 5,412.99, 8,119.77 and 1,517.70

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Solution

The fourth proportional to 5,412.99, 8,119.77 and 1,517.70 is: 2,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.99 : 8,119.77 = 1,517.70 : x
  2. Step 2: Convert to fraction form
    5,412.99/8,119.77 = 1,517.70/x
  3. Step 3: Cross multiply
    5,412.99x = 8,119.77 × 1,517.70
  4. Step 4: Simplify right side
    5,412.99x = 12,323,334.33
  5. Step 5: Solve for x
    x = 12,323,334.33/5,412.99
  6. Step 6: Final answer
    x = 2,276.62

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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.