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Finding the Fourth Proportional to 4,007.60, 6,012.12 and 1,234.26

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Solution

The fourth proportional to 4,007.60, 6,012.12 and 1,234.26 is: 1,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.60 : 6,012.12 = 1,234.26 : x
  2. Step 2: Convert to fraction form
    4,007.60/6,012.12 = 1,234.26/x
  3. Step 3: Cross multiply
    4,007.60x = 6,012.12 × 1,234.26
  4. Step 4: Simplify right side
    4,007.60x = 7,420,519.23
  5. Step 5: Solve for x
    x = 7,420,519.23/4,007.60
  6. Step 6: Final answer
    x = 1,851.61

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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.