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Finding the Fourth Proportional to 4,195.96, 6,284.36 and 2,006.24

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Solution

The fourth proportional to 4,195.96, 6,284.36 and 2,006.24 is: 3,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.96 : 6,284.36 = 2,006.24 : x
  2. Step 2: Convert to fraction form
    4,195.96/6,284.36 = 2,006.24/x
  3. Step 3: Cross multiply
    4,195.96x = 6,284.36 × 2,006.24
  4. Step 4: Simplify right side
    4,195.96x = 12,607,908.00
  5. Step 5: Solve for x
    x = 12,607,908.00/4,195.96
  6. Step 6: Final answer
    x = 3,004.77

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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.