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Finding the Fourth Proportional to 5,971.82, 8,242.16 and 3,453.53

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Solution

The fourth proportional to 5,971.82, 8,242.16 and 3,453.53 is: 4,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.82 : 8,242.16 = 3,453.53 : x
  2. Step 2: Convert to fraction form
    5,971.82/8,242.16 = 3,453.53/x
  3. Step 3: Cross multiply
    5,971.82x = 8,242.16 × 3,453.53
  4. Step 4: Simplify right side
    5,971.82x = 28,464,488.35
  5. Step 5: Solve for x
    x = 28,464,488.35/5,971.82
  6. Step 6: Final answer
    x = 4,766.47

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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.