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Finding the Fourth Proportional to 3,784.87, 5,673.63 and 1,836.01

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Solution

The fourth proportional to 3,784.87, 5,673.63 and 1,836.01 is: 2,752.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.87 : 5,673.63 = 1,836.01 : x
  2. Step 2: Convert to fraction form
    3,784.87/5,673.63 = 1,836.01/x
  3. Step 3: Cross multiply
    3,784.87x = 5,673.63 × 1,836.01
  4. Step 4: Simplify right side
    3,784.87x = 10,416,813.05
  5. Step 5: Solve for x
    x = 10,416,813.05/3,784.87
  6. Step 6: Final answer
    x = 2,752.23

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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.