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Finding the Fourth Proportional to 6,124.34, 8,451.34 and 3,471.93

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Solution

The fourth proportional to 6,124.34, 8,451.34 and 3,471.93 is: 4,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.34 : 8,451.34 = 3,471.93 : x
  2. Step 2: Convert to fraction form
    6,124.34/8,451.34 = 3,471.93/x
  3. Step 3: Cross multiply
    6,124.34x = 8,451.34 × 3,471.93
  4. Step 4: Simplify right side
    6,124.34x = 29,342,452.21
  5. Step 5: Solve for x
    x = 29,342,452.21/6,124.34
  6. Step 6: Final answer
    x = 4,791.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.