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Finding the Fourth Proportional to 5,784.89, 7,983.09 and 3,132.33

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Solution

The fourth proportional to 5,784.89, 7,983.09 and 3,132.33 is: 4,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.89 : 7,983.09 = 3,132.33 : x
  2. Step 2: Convert to fraction form
    5,784.89/7,983.09 = 3,132.33/x
  3. Step 3: Cross multiply
    5,784.89x = 7,983.09 × 3,132.33
  4. Step 4: Simplify right side
    5,784.89x = 25,005,672.30
  5. Step 5: Solve for x
    x = 25,005,672.30/5,784.89
  6. Step 6: Final answer
    x = 4,322.59

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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.