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Finding the Fourth Proportional to 3,873.77, 5,810.62 and 1,100.46

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Solution

The fourth proportional to 3,873.77, 5,810.62 and 1,100.46 is: 1,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.77 : 5,810.62 = 1,100.46 : x
  2. Step 2: Convert to fraction form
    3,873.77/5,810.62 = 1,100.46/x
  3. Step 3: Cross multiply
    3,873.77x = 5,810.62 × 1,100.46
  4. Step 4: Simplify right side
    3,873.77x = 6,394,354.89
  5. Step 5: Solve for x
    x = 6,394,354.89/3,873.77
  6. Step 6: Final answer
    x = 1,650.68

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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.