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Finding the Fourth Proportional to 3,394.61, 5,102.10 and 2,813.43

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Solution

The fourth proportional to 3,394.61, 5,102.10 and 2,813.43 is: 4,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.61 : 5,102.10 = 2,813.43 : x
  2. Step 2: Convert to fraction form
    3,394.61/5,102.10 = 2,813.43/x
  3. Step 3: Cross multiply
    3,394.61x = 5,102.10 × 2,813.43
  4. Step 4: Simplify right side
    3,394.61x = 14,354,401.20
  5. Step 5: Solve for x
    x = 14,354,401.20/3,394.61
  6. Step 6: Final answer
    x = 4,228.59

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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.