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Finding the Fourth Proportional to 5,777.92, 7,975.59 and 3,420.07

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Solution

The fourth proportional to 5,777.92, 7,975.59 and 3,420.07 is: 4,720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777.92 : 7,975.59 = 3,420.07 : x
  2. Step 2: Convert to fraction form
    5,777.92/7,975.59 = 3,420.07/x
  3. Step 3: Cross multiply
    5,777.92x = 7,975.59 × 3,420.07
  4. Step 4: Simplify right side
    5,777.92x = 27,277,076.09
  5. Step 5: Solve for x
    x = 27,277,076.09/5,777.92
  6. Step 6: Final answer
    x = 4,720.92

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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.