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Finding the Fourth Proportional to 5,992.16, 8,269.16 and 3,339.60

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Solution

The fourth proportional to 5,992.16, 8,269.16 and 3,339.60 is: 4,608.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.16 : 8,269.16 = 3,339.60 : x
  2. Step 2: Convert to fraction form
    5,992.16/8,269.16 = 3,339.60/x
  3. Step 3: Cross multiply
    5,992.16x = 8,269.16 × 3,339.60
  4. Step 4: Simplify right side
    5,992.16x = 27,615,686.74
  5. Step 5: Solve for x
    x = 27,615,686.74/5,992.16
  6. Step 6: Final answer
    x = 4,608.64

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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.