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Finding the Fourth Proportional to 5,401.53, 8,103.16 and 2,282

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Solution

The fourth proportional to 5,401.53, 8,103.16 and 2,282 is: 3,423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.53 : 8,103.16 = 2,282 : x
  2. Step 2: Convert to fraction form
    5,401.53/8,103.16 = 2,282/x
  3. Step 3: Cross multiply
    5,401.53x = 8,103.16 × 2,282
  4. Step 4: Simplify right side
    5,401.53x = 18,491,411.12
  5. Step 5: Solve for x
    x = 18,491,411.12/5,401.53
  6. Step 6: Final answer
    x = 3,423.37

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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.