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Finding the Fourth Proportional to 3,877.86, 5,812.14 and 1,795.04

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Solution

The fourth proportional to 3,877.86, 5,812.14 and 1,795.04 is: 2,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.86 : 5,812.14 = 1,795.04 : x
  2. Step 2: Convert to fraction form
    3,877.86/5,812.14 = 1,795.04/x
  3. Step 3: Cross multiply
    3,877.86x = 5,812.14 × 1,795.04
  4. Step 4: Simplify right side
    3,877.86x = 10,433,023.79
  5. Step 5: Solve for x
    x = 10,433,023.79/3,877.86
  6. Step 6: Final answer
    x = 2,690.41

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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.