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Finding the Fourth Proportional to 3,705.50, 5,553.47 and 2,773.76

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Solution

The fourth proportional to 3,705.50, 5,553.47 and 2,773.76 is: 4,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.50 : 5,553.47 = 2,773.76 : x
  2. Step 2: Convert to fraction form
    3,705.50/5,553.47 = 2,773.76/x
  3. Step 3: Cross multiply
    3,705.50x = 5,553.47 × 2,773.76
  4. Step 4: Simplify right side
    3,705.50x = 15,403,951.31
  5. Step 5: Solve for x
    x = 15,403,951.31/3,705.50
  6. Step 6: Final answer
    x = 4,157.06

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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.