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Finding the Fourth Proportional to 4,676, 7,012.32 and 2,078.24

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Solution

The fourth proportional to 4,676, 7,012.32 and 2,078.24 is: 3,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676 : 7,012.32 = 2,078.24 : x
  2. Step 2: Convert to fraction form
    4,676/7,012.32 = 2,078.24/x
  3. Step 3: Cross multiply
    4,676x = 7,012.32 × 2,078.24
  4. Step 4: Simplify right side
    4,676x = 14,573,283.92
  5. Step 5: Solve for x
    x = 14,573,283.92/4,676
  6. Step 6: Final answer
    x = 3,116.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.