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Finding the Fourth Proportional to 6,032.97, 8,325.50 and 3,380.40

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Solution

The fourth proportional to 6,032.97, 8,325.50 and 3,380.40 is: 4,664.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.97 : 8,325.50 = 3,380.40 : x
  2. Step 2: Convert to fraction form
    6,032.97/8,325.50 = 3,380.40/x
  3. Step 3: Cross multiply
    6,032.97x = 8,325.50 × 3,380.40
  4. Step 4: Simplify right side
    6,032.97x = 28,143,503.30
  5. Step 5: Solve for x
    x = 28,143,503.30/6,032.97
  6. Step 6: Final answer
    x = 4,664.95

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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.