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Finding the Fourth Proportional to 6,076.60, 8,385.32 and 3,424.38

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Solution

The fourth proportional to 6,076.60, 8,385.32 and 3,424.38 is: 4,725.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.60 : 8,385.32 = 3,424.38 : x
  2. Step 2: Convert to fraction form
    6,076.60/8,385.32 = 3,424.38/x
  3. Step 3: Cross multiply
    6,076.60x = 8,385.32 × 3,424.38
  4. Step 4: Simplify right side
    6,076.60x = 28,714,522.10
  5. Step 5: Solve for x
    x = 28,714,522.10/6,076.60
  6. Step 6: Final answer
    x = 4,725.43

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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.