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Finding the Fourth Proportional to 3,784.30, 5,223.01 and 2,293.49

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Solution

The fourth proportional to 3,784.30, 5,223.01 and 2,293.49 is: 3,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.30 : 5,223.01 = 2,293.49 : x
  2. Step 2: Convert to fraction form
    3,784.30/5,223.01 = 2,293.49/x
  3. Step 3: Cross multiply
    3,784.30x = 5,223.01 × 2,293.49
  4. Step 4: Simplify right side
    3,784.30x = 11,978,921.20
  5. Step 5: Solve for x
    x = 11,978,921.20/3,784.30
  6. Step 6: Final answer
    x = 3,165.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.