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Finding the Fourth Proportional to 4,102.64, 6,156.64 and 2,255.04

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Solution

The fourth proportional to 4,102.64, 6,156.64 and 2,255.04 is: 3,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.64 : 6,156.64 = 2,255.04 : x
  2. Step 2: Convert to fraction form
    4,102.64/6,156.64 = 2,255.04/x
  3. Step 3: Cross multiply
    4,102.64x = 6,156.64 × 2,255.04
  4. Step 4: Simplify right side
    4,102.64x = 13,883,469.47
  5. Step 5: Solve for x
    x = 13,883,469.47/4,102.64
  6. Step 6: Final answer
    x = 3,384.03

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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.