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Finding the Fourth Proportional to 3,581.96, 5,364.30 and 2,038.28

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Solution

The fourth proportional to 3,581.96, 5,364.30 and 2,038.28 is: 3,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.96 : 5,364.30 = 2,038.28 : x
  2. Step 2: Convert to fraction form
    3,581.96/5,364.30 = 2,038.28/x
  3. Step 3: Cross multiply
    3,581.96x = 5,364.30 × 2,038.28
  4. Step 4: Simplify right side
    3,581.96x = 10,933,945.40
  5. Step 5: Solve for x
    x = 10,933,945.40/3,581.96
  6. Step 6: Final answer
    x = 3,052.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.