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Finding the Fourth Proportional to 4,562.55, 6,843.83 and 1,641.08

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Solution

The fourth proportional to 4,562.55, 6,843.83 and 1,641.08 is: 2,461.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.55 : 6,843.83 = 1,641.08 : x
  2. Step 2: Convert to fraction form
    4,562.55/6,843.83 = 1,641.08/x
  3. Step 3: Cross multiply
    4,562.55x = 6,843.83 × 1,641.08
  4. Step 4: Simplify right side
    4,562.55x = 11,231,281.44
  5. Step 5: Solve for x
    x = 11,231,281.44/4,562.55
  6. Step 6: Final answer
    x = 2,461.62

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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.