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Finding the Fourth Proportional to 4,658.53, 6,427.20 and 3,163.85

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Solution

The fourth proportional to 4,658.53, 6,427.20 and 3,163.85 is: 4,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.53 : 6,427.20 = 3,163.85 : x
  2. Step 2: Convert to fraction form
    4,658.53/6,427.20 = 3,163.85/x
  3. Step 3: Cross multiply
    4,658.53x = 6,427.20 × 3,163.85
  4. Step 4: Simplify right side
    4,658.53x = 20,334,696.72
  5. Step 5: Solve for x
    x = 20,334,696.72/4,658.53
  6. Step 6: Final answer
    x = 4,365.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.