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Finding the Fourth Proportional to 4,546.28, 6,277.02 and 3,500.84

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Solution

The fourth proportional to 4,546.28, 6,277.02 and 3,500.84 is: 4,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.28 : 6,277.02 = 3,500.84 : x
  2. Step 2: Convert to fraction form
    4,546.28/6,277.02 = 3,500.84/x
  3. Step 3: Cross multiply
    4,546.28x = 6,277.02 × 3,500.84
  4. Step 4: Simplify right side
    4,546.28x = 21,974,842.70
  5. Step 5: Solve for x
    x = 21,974,842.70/4,546.28
  6. Step 6: Final answer
    x = 4,833.59

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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.