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Finding the Fourth Proportional to 3,773.87, 5,654.70 and 2,308.58

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Solution

The fourth proportional to 3,773.87, 5,654.70 and 2,308.58 is: 3,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.87 : 5,654.70 = 2,308.58 : x
  2. Step 2: Convert to fraction form
    3,773.87/5,654.70 = 2,308.58/x
  3. Step 3: Cross multiply
    3,773.87x = 5,654.70 × 2,308.58
  4. Step 4: Simplify right side
    3,773.87x = 13,054,299.05
  5. Step 5: Solve for x
    x = 13,054,299.05/3,773.87
  6. Step 6: Final answer
    x = 3,459.13

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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.