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Finding the Fourth Proportional to 3,774.64, 5,665.29 and 2,021.08

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Solution

The fourth proportional to 3,774.64, 5,665.29 and 2,021.08 is: 3,033.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.64 : 5,665.29 = 2,021.08 : x
  2. Step 2: Convert to fraction form
    3,774.64/5,665.29 = 2,021.08/x
  3. Step 3: Cross multiply
    3,774.64x = 5,665.29 × 2,021.08
  4. Step 4: Simplify right side
    3,774.64x = 11,450,004.31
  5. Step 5: Solve for x
    x = 11,450,004.31/3,774.64
  6. Step 6: Final answer
    x = 3,033.40

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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.