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Finding the Fourth Proportional to 5,074.96, 7,612.36 and 1,612.24

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Solution

The fourth proportional to 5,074.96, 7,612.36 and 1,612.24 is: 2,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.96 : 7,612.36 = 1,612.24 : x
  2. Step 2: Convert to fraction form
    5,074.96/7,612.36 = 1,612.24/x
  3. Step 3: Cross multiply
    5,074.96x = 7,612.36 × 1,612.24
  4. Step 4: Simplify right side
    5,074.96x = 12,272,951.29
  5. Step 5: Solve for x
    x = 12,272,951.29/5,074.96
  6. Step 6: Final answer
    x = 2,418.33

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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.