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Finding the Fourth Proportional to 4,765.32, 7,142.88 and 1,991.28

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Solution

The fourth proportional to 4,765.32, 7,142.88 and 1,991.28 is: 2,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.32 : 7,142.88 = 1,991.28 : x
  2. Step 2: Convert to fraction form
    4,765.32/7,142.88 = 1,991.28/x
  3. Step 3: Cross multiply
    4,765.32x = 7,142.88 × 1,991.28
  4. Step 4: Simplify right side
    4,765.32x = 14,223,474.09
  5. Step 5: Solve for x
    x = 14,223,474.09/4,765.32
  6. Step 6: Final answer
    x = 2,984.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.