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Finding the Fourth Proportional to 3,628.34, 5,440.52 and 1,128.84

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Solution

The fourth proportional to 3,628.34, 5,440.52 and 1,128.84 is: 1,692.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.34 : 5,440.52 = 1,128.84 : x
  2. Step 2: Convert to fraction form
    3,628.34/5,440.52 = 1,128.84/x
  3. Step 3: Cross multiply
    3,628.34x = 5,440.52 × 1,128.84
  4. Step 4: Simplify right side
    3,628.34x = 6,141,476.60
  5. Step 5: Solve for x
    x = 6,141,476.60/3,628.34
  6. Step 6: Final answer
    x = 1,692.64

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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.