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Finding the Fourth Proportional to 5,784.72, 7,978.80 and 3,992.88

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Solution

The fourth proportional to 5,784.72, 7,978.80 and 3,992.88 is: 5,507.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.72 : 7,978.80 = 3,992.88 : x
  2. Step 2: Convert to fraction form
    5,784.72/7,978.80 = 3,992.88/x
  3. Step 3: Cross multiply
    5,784.72x = 7,978.80 × 3,992.88
  4. Step 4: Simplify right side
    5,784.72x = 31,858,390.94
  5. Step 5: Solve for x
    x = 31,858,390.94/5,784.72
  6. Step 6: Final answer
    x = 5,507.34

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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.