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Finding the Fourth Proportional to 2,635.64, 3,933.00 and 2,285.72

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Solution

The fourth proportional to 2,635.64, 3,933.00 and 2,285.72 is: 3,410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.64 : 3,933.00 = 2,285.72 : x
  2. Step 2: Convert to fraction form
    2,635.64/3,933.00 = 2,285.72/x
  3. Step 3: Cross multiply
    2,635.64x = 3,933.00 × 2,285.72
  4. Step 4: Simplify right side
    2,635.64x = 8,989,725.33
  5. Step 5: Solve for x
    x = 8,989,725.33/2,635.64
  6. Step 6: Final answer
    x = 3,410.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.