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Finding the Fourth Proportional to 4,977.36, 7,469.28 and 2,205.84

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Solution

The fourth proportional to 4,977.36, 7,469.28 and 2,205.84 is: 3,310.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.36 : 7,469.28 = 2,205.84 : x
  2. Step 2: Convert to fraction form
    4,977.36/7,469.28 = 2,205.84/x
  3. Step 3: Cross multiply
    4,977.36x = 7,469.28 × 2,205.84
  4. Step 4: Simplify right side
    4,977.36x = 16,476,036.60
  5. Step 5: Solve for x
    x = 16,476,036.60/4,977.36
  6. Step 6: Final answer
    x = 3,310.20

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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.