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Finding the Fourth Proportional to 5,970.42, 8,239.32 and 3,452.43

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Solution

The fourth proportional to 5,970.42, 8,239.32 and 3,452.43 is: 4,764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.42 : 8,239.32 = 3,452.43 : x
  2. Step 2: Convert to fraction form
    5,970.42/8,239.32 = 3,452.43/x
  3. Step 3: Cross multiply
    5,970.42x = 8,239.32 × 3,452.43
  4. Step 4: Simplify right side
    5,970.42x = 28,445,675.55
  5. Step 5: Solve for x
    x = 28,445,675.55/5,970.42
  6. Step 6: Final answer
    x = 4,764.43

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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.