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Finding the Fourth Proportional to 4,840.67, 6,684.82 and 4,171.25

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Solution

The fourth proportional to 4,840.67, 6,684.82 and 4,171.25 is: 5,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.67 : 6,684.82 = 4,171.25 : x
  2. Step 2: Convert to fraction form
    4,840.67/6,684.82 = 4,171.25/x
  3. Step 3: Cross multiply
    4,840.67x = 6,684.82 × 4,171.25
  4. Step 4: Simplify right side
    4,840.67x = 27,884,018.24
  5. Step 5: Solve for x
    x = 27,884,018.24/4,840.67
  6. Step 6: Final answer
    x = 5,760.36

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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.