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Finding the Fourth Proportional to 6,143.91, 8,478.18 and 3,455.54

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Solution

The fourth proportional to 6,143.91, 8,478.18 and 3,455.54 is: 4,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.91 : 8,478.18 = 3,455.54 : x
  2. Step 2: Convert to fraction form
    6,143.91/8,478.18 = 3,455.54/x
  3. Step 3: Cross multiply
    6,143.91x = 8,478.18 × 3,455.54
  4. Step 4: Simplify right side
    6,143.91x = 29,296,647.73
  5. Step 5: Solve for x
    x = 29,296,647.73/6,143.91
  6. Step 6: Final answer
    x = 4,768.40

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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.