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Finding the Fourth Proportional to 5,074.86, 7,613.52 and 1,612.14

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Solution

The fourth proportional to 5,074.86, 7,613.52 and 1,612.14 is: 2,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.86 : 7,613.52 = 1,612.14 : x
  2. Step 2: Convert to fraction form
    5,074.86/7,613.52 = 1,612.14/x
  3. Step 3: Cross multiply
    5,074.86x = 7,613.52 × 1,612.14
  4. Step 4: Simplify right side
    5,074.86x = 12,274,060.13
  5. Step 5: Solve for x
    x = 12,274,060.13/5,074.86
  6. Step 6: Final answer
    x = 2,418.60

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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.