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Finding the Fourth Proportional to 4,676.44, 6,454.29 and 4,466.25

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Solution

The fourth proportional to 4,676.44, 6,454.29 and 4,466.25 is: 6,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.44 : 6,454.29 = 4,466.25 : x
  2. Step 2: Convert to fraction form
    4,676.44/6,454.29 = 4,466.25/x
  3. Step 3: Cross multiply
    4,676.44x = 6,454.29 × 4,466.25
  4. Step 4: Simplify right side
    4,676.44x = 28,826,435.71
  5. Step 5: Solve for x
    x = 28,826,435.71/4,676.44
  6. Step 6: Final answer
    x = 6,164.18

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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.