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Finding the Fourth Proportional to 6,141.34, 8,474.40 and 3,452.86

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Solution

The fourth proportional to 6,141.34, 8,474.40 and 3,452.86 is: 4,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.34 : 8,474.40 = 3,452.86 : x
  2. Step 2: Convert to fraction form
    6,141.34/8,474.40 = 3,452.86/x
  3. Step 3: Cross multiply
    6,141.34x = 8,474.40 × 3,452.86
  4. Step 4: Simplify right side
    6,141.34x = 29,260,916.78
  5. Step 5: Solve for x
    x = 29,260,916.78/6,141.34
  6. Step 6: Final answer
    x = 4,764.58

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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.