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Finding the Fourth Proportional to 6,114.78, 8,438.22 and 3,462.43

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Solution

The fourth proportional to 6,114.78, 8,438.22 and 3,462.43 is: 4,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.78 : 8,438.22 = 3,462.43 : x
  2. Step 2: Convert to fraction form
    6,114.78/8,438.22 = 3,462.43/x
  3. Step 3: Cross multiply
    6,114.78x = 8,438.22 × 3,462.43
  4. Step 4: Simplify right side
    6,114.78x = 29,216,746.07
  5. Step 5: Solve for x
    x = 29,216,746.07/6,114.78
  6. Step 6: Final answer
    x = 4,778.05

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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.