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Finding the Fourth Proportional to 3,914.03, 5,871.22 and 1,281.68

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Solution

The fourth proportional to 3,914.03, 5,871.22 and 1,281.68 is: 1,922.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.03 : 5,871.22 = 1,281.68 : x
  2. Step 2: Convert to fraction form
    3,914.03/5,871.22 = 1,281.68/x
  3. Step 3: Cross multiply
    3,914.03x = 5,871.22 × 1,281.68
  4. Step 4: Simplify right side
    3,914.03x = 7,525,025.25
  5. Step 5: Solve for x
    x = 7,525,025.25/3,914.03
  6. Step 6: Final answer
    x = 1,922.58

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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.