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Finding the Fourth Proportional to 4,102.02, 6,153.02 and 3,285.44

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Solution

The fourth proportional to 4,102.02, 6,153.02 and 3,285.44 is: 4,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.02 : 6,153.02 = 3,285.44 : x
  2. Step 2: Convert to fraction form
    4,102.02/6,153.02 = 3,285.44/x
  3. Step 3: Cross multiply
    4,102.02x = 6,153.02 × 3,285.44
  4. Step 4: Simplify right side
    4,102.02x = 20,215,378.03
  5. Step 5: Solve for x
    x = 20,215,378.03/4,102.02
  6. Step 6: Final answer
    x = 4,928.15

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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.