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Finding the Fourth Proportional to 3,834.64, 5,749.80 and 1,334.68

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Solution

The fourth proportional to 3,834.64, 5,749.80 and 1,334.68 is: 2,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.64 : 5,749.80 = 1,334.68 : x
  2. Step 2: Convert to fraction form
    3,834.64/5,749.80 = 1,334.68/x
  3. Step 3: Cross multiply
    3,834.64x = 5,749.80 × 1,334.68
  4. Step 4: Simplify right side
    3,834.64x = 7,674,143.06
  5. Step 5: Solve for x
    x = 7,674,143.06/3,834.64
  6. Step 6: Final answer
    x = 2,001.27

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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.