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Finding the Fourth Proportional to 4,605.44, 6,938.92 and 4,167.24

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Solution

The fourth proportional to 4,605.44, 6,938.92 and 4,167.24 is: 6,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.44 : 6,938.92 = 4,167.24 : x
  2. Step 2: Convert to fraction form
    4,605.44/6,938.92 = 4,167.24/x
  3. Step 3: Cross multiply
    4,605.44x = 6,938.92 × 4,167.24
  4. Step 4: Simplify right side
    4,605.44x = 28,916,144.98
  5. Step 5: Solve for x
    x = 28,916,144.98/4,605.44
  6. Step 6: Final answer
    x = 6,278.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.