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Finding the Fourth Proportional to 5,784.48, 7,982.60 and 3,131.90

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Solution

The fourth proportional to 5,784.48, 7,982.60 and 3,131.90 is: 4,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.48 : 7,982.60 = 3,131.90 : x
  2. Step 2: Convert to fraction form
    5,784.48/7,982.60 = 3,131.90/x
  3. Step 3: Cross multiply
    5,784.48x = 7,982.60 × 3,131.90
  4. Step 4: Simplify right side
    5,784.48x = 25,000,704.94
  5. Step 5: Solve for x
    x = 25,000,704.94/5,784.48
  6. Step 6: Final answer
    x = 4,322.03

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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.