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Finding the Fourth Proportional to 3,520.84, 5,281.80 and 3,083.44

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Solution

The fourth proportional to 3,520.84, 5,281.80 and 3,083.44 is: 4,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.84 : 5,281.80 = 3,083.44 : x
  2. Step 2: Convert to fraction form
    3,520.84/5,281.80 = 3,083.44/x
  3. Step 3: Cross multiply
    3,520.84x = 5,281.80 × 3,083.44
  4. Step 4: Simplify right side
    3,520.84x = 16,286,113.39
  5. Step 5: Solve for x
    x = 16,286,113.39/3,520.84
  6. Step 6: Final answer
    x = 4,625.63

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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.