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Finding the Fourth Proportional to 3,876.53, 5,810.01 and 1,793.67

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Solution

The fourth proportional to 3,876.53, 5,810.01 and 1,793.67 is: 2,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.53 : 5,810.01 = 1,793.67 : x
  2. Step 2: Convert to fraction form
    3,876.53/5,810.01 = 1,793.67/x
  3. Step 3: Cross multiply
    3,876.53x = 5,810.01 × 1,793.67
  4. Step 4: Simplify right side
    3,876.53x = 10,421,240.64
  5. Step 5: Solve for x
    x = 10,421,240.64/3,876.53
  6. Step 6: Final answer
    x = 2,688.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.