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Finding the Fourth Proportional to 3,702.96, 5,553.50 and 1,511.28

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Solution

The fourth proportional to 3,702.96, 5,553.50 and 1,511.28 is: 2,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.96 : 5,553.50 = 1,511.28 : x
  2. Step 2: Convert to fraction form
    3,702.96/5,553.50 = 1,511.28/x
  3. Step 3: Cross multiply
    3,702.96x = 5,553.50 × 1,511.28
  4. Step 4: Simplify right side
    3,702.96x = 8,392,885.92
  5. Step 5: Solve for x
    x = 8,392,885.92/3,702.96
  6. Step 6: Final answer
    x = 2,266.53

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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.