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Finding the Fourth Proportional to 6,160, 8,500.80 and 3,676

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Solution

The fourth proportional to 6,160, 8,500.80 and 3,676 is: 5,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160 : 8,500.80 = 3,676 : x
  2. Step 2: Convert to fraction form
    6,160/8,500.80 = 3,676/x
  3. Step 3: Cross multiply
    6,160x = 8,500.80 × 3,676
  4. Step 4: Simplify right side
    6,160x = 31,248,940.80
  5. Step 5: Solve for x
    x = 31,248,940.80/6,160
  6. Step 6: Final answer
    x = 5,072.88

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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.