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Finding the Fourth Proportional to 5,870, 8,096.80 and 4,100.96

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Solution

The fourth proportional to 5,870, 8,096.80 and 4,100.96 is: 5,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870 : 8,096.80 = 4,100.96 : x
  2. Step 2: Convert to fraction form
    5,870/8,096.80 = 4,100.96/x
  3. Step 3: Cross multiply
    5,870x = 8,096.80 × 4,100.96
  4. Step 4: Simplify right side
    5,870x = 33,204,652.93
  5. Step 5: Solve for x
    x = 33,204,652.93/5,870
  6. Step 6: Final answer
    x = 5,656.67

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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.