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Finding the Fourth Proportional to 3,480.32, 5,228.32 and 2,023.04

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Solution

The fourth proportional to 3,480.32, 5,228.32 and 2,023.04 is: 3,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.32 : 5,228.32 = 2,023.04 : x
  2. Step 2: Convert to fraction form
    3,480.32/5,228.32 = 2,023.04/x
  3. Step 3: Cross multiply
    3,480.32x = 5,228.32 × 2,023.04
  4. Step 4: Simplify right side
    3,480.32x = 10,577,100.49
  5. Step 5: Solve for x
    x = 10,577,100.49/3,480.32
  6. Step 6: Final answer
    x = 3,039.12

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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.