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Finding the Fourth Proportional to 3,147.84, 4,334.64 and 2,992.32

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Solution

The fourth proportional to 3,147.84, 4,334.64 and 2,992.32 is: 4,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.84 : 4,334.64 = 2,992.32 : x
  2. Step 2: Convert to fraction form
    3,147.84/4,334.64 = 2,992.32/x
  3. Step 3: Cross multiply
    3,147.84x = 4,334.64 × 2,992.32
  4. Step 4: Simplify right side
    3,147.84x = 12,970,629.96
  5. Step 5: Solve for x
    x = 12,970,629.96/3,147.84
  6. Step 6: Final answer
    x = 4,120.49

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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.