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Finding the Fourth Proportional to 5,635.49, 7,773.59 and 4,147.25

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Solution

The fourth proportional to 5,635.49, 7,773.59 and 4,147.25 is: 5,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.49 : 7,773.59 = 4,147.25 : x
  2. Step 2: Convert to fraction form
    5,635.49/7,773.59 = 4,147.25/x
  3. Step 3: Cross multiply
    5,635.49x = 7,773.59 × 4,147.25
  4. Step 4: Simplify right side
    5,635.49x = 32,239,000.39
  5. Step 5: Solve for x
    x = 32,239,000.39/5,635.49
  6. Step 6: Final answer
    x = 5,720.71

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