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Finding the Fourth Proportional to 5,249.89, 7,874.93 and 1,552.11

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Solution

The fourth proportional to 5,249.89, 7,874.93 and 1,552.11 is: 2,328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.89 : 7,874.93 = 1,552.11 : x
  2. Step 2: Convert to fraction form
    5,249.89/7,874.93 = 1,552.11/x
  3. Step 3: Cross multiply
    5,249.89x = 7,874.93 × 1,552.11
  4. Step 4: Simplify right side
    5,249.89x = 12,222,776.25
  5. Step 5: Solve for x
    x = 12,222,776.25/5,249.89
  6. Step 6: Final answer
    x = 2,328.20

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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.