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Finding the Fourth Proportional to 3,885.12, 5,827.92 and 1,288.40

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Solution

The fourth proportional to 3,885.12, 5,827.92 and 1,288.40 is: 1,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.12 : 5,827.92 = 1,288.40 : x
  2. Step 2: Convert to fraction form
    3,885.12/5,827.92 = 1,288.40/x
  3. Step 3: Cross multiply
    3,885.12x = 5,827.92 × 1,288.40
  4. Step 4: Simplify right side
    3,885.12x = 7,508,692.13
  5. Step 5: Solve for x
    x = 7,508,692.13/3,885.12
  6. Step 6: Final answer
    x = 1,932.68

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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.