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Finding the Fourth Proportional to 4,676.61, 6,452.55 and 3,166.95

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Solution

The fourth proportional to 4,676.61, 6,452.55 and 3,166.95 is: 4,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.61 : 6,452.55 = 3,166.95 : x
  2. Step 2: Convert to fraction form
    4,676.61/6,452.55 = 3,166.95/x
  3. Step 3: Cross multiply
    4,676.61x = 6,452.55 × 3,166.95
  4. Step 4: Simplify right side
    4,676.61x = 20,434,903.22
  5. Step 5: Solve for x
    x = 20,434,903.22/4,676.61
  6. Step 6: Final answer
    x = 4,369.60

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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.