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Finding the Fourth Proportional to 3,428.98, 5,146.66 and 1,350.42

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Solution

The fourth proportional to 3,428.98, 5,146.66 and 1,350.42 is: 2,026.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.98 : 5,146.66 = 1,350.42 : x
  2. Step 2: Convert to fraction form
    3,428.98/5,146.66 = 1,350.42/x
  3. Step 3: Cross multiply
    3,428.98x = 5,146.66 × 1,350.42
  4. Step 4: Simplify right side
    3,428.98x = 6,950,152.60
  5. Step 5: Solve for x
    x = 6,950,152.60/3,428.98
  6. Step 6: Final answer
    x = 2,026.89

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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.