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Finding the Fourth Proportional to 4,658.10, 6,425.67 and 3,166.02

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Solution

The fourth proportional to 4,658.10, 6,425.67 and 3,166.02 is: 4,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.10 : 6,425.67 = 3,166.02 : x
  2. Step 2: Convert to fraction form
    4,658.10/6,425.67 = 3,166.02/x
  3. Step 3: Cross multiply
    4,658.10x = 6,425.67 × 3,166.02
  4. Step 4: Simplify right side
    4,658.10x = 20,343,799.73
  5. Step 5: Solve for x
    x = 20,343,799.73/4,658.10
  6. Step 6: Final answer
    x = 4,367.40

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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.