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Finding the Fourth Proportional to 4,675.67, 6,449.04 and 3,180.93

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Solution

The fourth proportional to 4,675.67, 6,449.04 and 3,180.93 is: 4,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.67 : 6,449.04 = 3,180.93 : x
  2. Step 2: Convert to fraction form
    4,675.67/6,449.04 = 3,180.93/x
  3. Step 3: Cross multiply
    4,675.67x = 6,449.04 × 3,180.93
  4. Step 4: Simplify right side
    4,675.67x = 20,513,896.66
  5. Step 5: Solve for x
    x = 20,513,896.66/4,675.67
  6. Step 6: Final answer
    x = 4,387.37

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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.