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Finding the Fourth Proportional to 5,249.93, 7,872.54 and 1,550.86

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Solution

The fourth proportional to 5,249.93, 7,872.54 and 1,550.86 is: 2,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.93 : 7,872.54 = 1,550.86 : x
  2. Step 2: Convert to fraction form
    5,249.93/7,872.54 = 1,550.86/x
  3. Step 3: Cross multiply
    5,249.93x = 7,872.54 × 1,550.86
  4. Step 4: Simplify right side
    5,249.93x = 12,209,234.89
  5. Step 5: Solve for x
    x = 12,209,234.89/5,249.93
  6. Step 6: Final answer
    x = 2,325.60

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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.