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Finding the Fourth Proportional to 5,327.64, 7,352.52 and 2,969.88

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Solution

The fourth proportional to 5,327.64, 7,352.52 and 2,969.88 is: 4,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.64 : 7,352.52 = 2,969.88 : x
  2. Step 2: Convert to fraction form
    5,327.64/7,352.52 = 2,969.88/x
  3. Step 3: Cross multiply
    5,327.64x = 7,352.52 × 2,969.88
  4. Step 4: Simplify right side
    5,327.64x = 21,836,102.10
  5. Step 5: Solve for x
    x = 21,836,102.10/5,327.64
  6. Step 6: Final answer
    x = 4,098.64

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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.