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Finding the Fourth Proportional to 3,252.72, 4,880.64 and 2,822.88

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Solution

The fourth proportional to 3,252.72, 4,880.64 and 2,822.88 is: 4,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252.72 : 4,880.64 = 2,822.88 : x
  2. Step 2: Convert to fraction form
    3,252.72/4,880.64 = 2,822.88/x
  3. Step 3: Cross multiply
    3,252.72x = 4,880.64 × 2,822.88
  4. Step 4: Simplify right side
    3,252.72x = 13,777,461.04
  5. Step 5: Solve for x
    x = 13,777,461.04/3,252.72
  6. Step 6: Final answer
    x = 4,235.67

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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.