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Finding the Fourth Proportional to 4,107.56, 6,156.56 and 1,643.09

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Solution

The fourth proportional to 4,107.56, 6,156.56 and 1,643.09 is: 2,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.56 : 6,156.56 = 1,643.09 : x
  2. Step 2: Convert to fraction form
    4,107.56/6,156.56 = 1,643.09/x
  3. Step 3: Cross multiply
    4,107.56x = 6,156.56 × 1,643.09
  4. Step 4: Simplify right side
    4,107.56x = 10,115,746.25
  5. Step 5: Solve for x
    x = 10,115,746.25/4,107.56
  6. Step 6: Final answer
    x = 2,462.71

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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.