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Finding the Fourth Proportional to 5,784.51, 7,982.61 and 3,131.92

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Solution

The fourth proportional to 5,784.51, 7,982.61 and 3,131.92 is: 4,322.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.51 : 7,982.61 = 3,131.92 : x
  2. Step 2: Convert to fraction form
    5,784.51/7,982.61 = 3,131.92/x
  3. Step 3: Cross multiply
    5,784.51x = 7,982.61 × 3,131.92
  4. Step 4: Simplify right side
    5,784.51x = 25,000,895.91
  5. Step 5: Solve for x
    x = 25,000,895.91/5,784.51
  6. Step 6: Final answer
    x = 4,322.04

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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.