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Finding the Fourth Proportional to 3,868.64, 5,799.37 and 1,402.79

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Solution

The fourth proportional to 3,868.64, 5,799.37 and 1,402.79 is: 2,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.64 : 5,799.37 = 1,402.79 : x
  2. Step 2: Convert to fraction form
    3,868.64/5,799.37 = 1,402.79/x
  3. Step 3: Cross multiply
    3,868.64x = 5,799.37 × 1,402.79
  4. Step 4: Simplify right side
    3,868.64x = 8,135,321.74
  5. Step 5: Solve for x
    x = 8,135,321.74/3,868.64
  6. Step 6: Final answer
    x = 2,102.89

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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.