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Finding the Fourth Proportional to 3,285.86, 4,940.16 and 2,641.10

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Solution

The fourth proportional to 3,285.86, 4,940.16 and 2,641.10 is: 3,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.86 : 4,940.16 = 2,641.10 : x
  2. Step 2: Convert to fraction form
    3,285.86/4,940.16 = 2,641.10/x
  3. Step 3: Cross multiply
    3,285.86x = 4,940.16 × 2,641.10
  4. Step 4: Simplify right side
    3,285.86x = 13,047,456.58
  5. Step 5: Solve for x
    x = 13,047,456.58/3,285.86
  6. Step 6: Final answer
    x = 3,970.79

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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.