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Finding the Fourth Proportional to 4,493.70, 6,745.41 and 2,301.84

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Solution

The fourth proportional to 4,493.70, 6,745.41 and 2,301.84 is: 3,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.70 : 6,745.41 = 2,301.84 : x
  2. Step 2: Convert to fraction form
    4,493.70/6,745.41 = 2,301.84/x
  3. Step 3: Cross multiply
    4,493.70x = 6,745.41 × 2,301.84
  4. Step 4: Simplify right side
    4,493.70x = 15,526,854.55
  5. Step 5: Solve for x
    x = 15,526,854.55/4,493.70
  6. Step 6: Final answer
    x = 3,455.25

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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.