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Finding the Fourth Proportional to 3,769.64, 5,643.12 and 2,033

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Solution

The fourth proportional to 3,769.64, 5,643.12 and 2,033 is: 3,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.64 : 5,643.12 = 2,033 : x
  2. Step 2: Convert to fraction form
    3,769.64/5,643.12 = 2,033/x
  3. Step 3: Cross multiply
    3,769.64x = 5,643.12 × 2,033
  4. Step 4: Simplify right side
    3,769.64x = 11,472,462.96
  5. Step 5: Solve for x
    x = 11,472,462.96/3,769.64
  6. Step 6: Final answer
    x = 3,043.38

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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.