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Finding the Fourth Proportional to 4,314.12, 6,469.56 and 2,004

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Solution

The fourth proportional to 4,314.12, 6,469.56 and 2,004 is: 3,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.12 : 6,469.56 = 2,004 : x
  2. Step 2: Convert to fraction form
    4,314.12/6,469.56 = 2,004/x
  3. Step 3: Cross multiply
    4,314.12x = 6,469.56 × 2,004
  4. Step 4: Simplify right side
    4,314.12x = 12,964,998.24
  5. Step 5: Solve for x
    x = 12,964,998.24/4,314.12
  6. Step 6: Final answer
    x = 3,005.25

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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.