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Finding the Fourth Proportional to 3,401.34, 5,101.98 and 1,092.84

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Solution

The fourth proportional to 3,401.34, 5,101.98 and 1,092.84 is: 1,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.34 : 5,101.98 = 1,092.84 : x
  2. Step 2: Convert to fraction form
    3,401.34/5,101.98 = 1,092.84/x
  3. Step 3: Cross multiply
    3,401.34x = 5,101.98 × 1,092.84
  4. Step 4: Simplify right side
    3,401.34x = 5,575,647.82
  5. Step 5: Solve for x
    x = 5,575,647.82/3,401.34
  6. Step 6: Final answer
    x = 1,639.25

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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.