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Finding the Fourth Proportional to 6,032.84, 8,325.72 and 3,380.49

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Solution

The fourth proportional to 6,032.84, 8,325.72 and 3,380.49 is: 4,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.84 : 8,325.72 = 3,380.49 : x
  2. Step 2: Convert to fraction form
    6,032.84/8,325.72 = 3,380.49/x
  3. Step 3: Cross multiply
    6,032.84x = 8,325.72 × 3,380.49
  4. Step 4: Simplify right side
    6,032.84x = 28,145,013.20
  5. Step 5: Solve for x
    x = 28,145,013.20/6,032.84
  6. Step 6: Final answer
    x = 4,665.30

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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.