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Finding the Fourth Proportional to 5,665.21, 7,824.53 and 3,773.68

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Solution

The fourth proportional to 5,665.21, 7,824.53 and 3,773.68 is: 5,212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.21 : 7,824.53 = 3,773.68 : x
  2. Step 2: Convert to fraction form
    5,665.21/7,824.53 = 3,773.68/x
  3. Step 3: Cross multiply
    5,665.21x = 7,824.53 × 3,773.68
  4. Step 4: Simplify right side
    5,665.21x = 29,527,272.37
  5. Step 5: Solve for x
    x = 29,527,272.37/5,665.21
  6. Step 6: Final answer
    x = 5,212.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.