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Finding the Fourth Proportional to 5,784.53, 7,982.62 and 3,131.91

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Solution

The fourth proportional to 5,784.53, 7,982.62 and 3,131.91 is: 4,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.53 : 7,982.62 = 3,131.91 : x
  2. Step 2: Convert to fraction form
    5,784.53/7,982.62 = 3,131.91/x
  3. Step 3: Cross multiply
    5,784.53x = 7,982.62 × 3,131.91
  4. Step 4: Simplify right side
    5,784.53x = 25,000,839.57
  5. Step 5: Solve for x
    x = 25,000,839.57/5,784.53
  6. Step 6: Final answer
    x = 4,322.02

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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.