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Finding the Fourth Proportional to 3,702.60, 5,553.84 and 1,105.50

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Solution

The fourth proportional to 3,702.60, 5,553.84 and 1,105.50 is: 1,658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.60 : 5,553.84 = 1,105.50 : x
  2. Step 2: Convert to fraction form
    3,702.60/5,553.84 = 1,105.50/x
  3. Step 3: Cross multiply
    3,702.60x = 5,553.84 × 1,105.50
  4. Step 4: Simplify right side
    3,702.60x = 6,139,770.12
  5. Step 5: Solve for x
    x = 6,139,770.12/3,702.60
  6. Step 6: Final answer
    x = 1,658.23

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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.