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Finding the Fourth Proportional to 5,403.78, 7,457.82 and 3,167.55

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Solution

The fourth proportional to 5,403.78, 7,457.82 and 3,167.55 is: 4,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.78 : 7,457.82 = 3,167.55 : x
  2. Step 2: Convert to fraction form
    5,403.78/7,457.82 = 3,167.55/x
  3. Step 3: Cross multiply
    5,403.78x = 7,457.82 × 3,167.55
  4. Step 4: Simplify right side
    5,403.78x = 23,622,995.14
  5. Step 5: Solve for x
    x = 23,622,995.14/5,403.78
  6. Step 6: Final answer
    x = 4,371.57

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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.