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Finding the Fourth Proportional to 4,834.42, 7,249.62 and 1,546.64

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Solution

The fourth proportional to 4,834.42, 7,249.62 and 1,546.64 is: 2,319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.42 : 7,249.62 = 1,546.64 : x
  2. Step 2: Convert to fraction form
    4,834.42/7,249.62 = 1,546.64/x
  3. Step 3: Cross multiply
    4,834.42x = 7,249.62 × 1,546.64
  4. Step 4: Simplify right side
    4,834.42x = 11,212,552.28
  5. Step 5: Solve for x
    x = 11,212,552.28/4,834.42
  6. Step 6: Final answer
    x = 2,319.32

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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.