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Finding the Fourth Proportional to 5,372.64, 8,057.04 and 1,674.48

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Solution

The fourth proportional to 5,372.64, 8,057.04 and 1,674.48 is: 2,511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.64 : 8,057.04 = 1,674.48 : x
  2. Step 2: Convert to fraction form
    5,372.64/8,057.04 = 1,674.48/x
  3. Step 3: Cross multiply
    5,372.64x = 8,057.04 × 1,674.48
  4. Step 4: Simplify right side
    5,372.64x = 13,491,352.34
  5. Step 5: Solve for x
    x = 13,491,352.34/5,372.64
  6. Step 6: Final answer
    x = 2,511.12

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Why These Related Problems?

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