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Finding the Fourth Proportional to 4,676.30, 6,454.09 and 4,466.10

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Solution

The fourth proportional to 4,676.30, 6,454.09 and 4,466.10 is: 6,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.30 : 6,454.09 = 4,466.10 : x
  2. Step 2: Convert to fraction form
    4,676.30/6,454.09 = 4,466.10/x
  3. Step 3: Cross multiply
    4,676.30x = 6,454.09 × 4,466.10
  4. Step 4: Simplify right side
    4,676.30x = 28,824,611.35
  5. Step 5: Solve for x
    x = 28,824,611.35/4,676.30
  6. Step 6: Final answer
    x = 6,163.98

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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.