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Finding the Fourth Proportional to 4,325.64, 5,961.06 and 3,144.84

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Solution

The fourth proportional to 4,325.64, 5,961.06 and 3,144.84 is: 4,333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,325.64 : 5,961.06 = 3,144.84 : x
  2. Step 2: Convert to fraction form
    4,325.64/5,961.06 = 3,144.84/x
  3. Step 3: Cross multiply
    4,325.64x = 5,961.06 × 3,144.84
  4. Step 4: Simplify right side
    4,325.64x = 18,746,579.93
  5. Step 5: Solve for x
    x = 18,746,579.93/4,325.64
  6. Step 6: Final answer
    x = 4,333.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.