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Finding the Fourth Proportional to 3,428.70, 5,143.05 and 3,126.30

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Solution

The fourth proportional to 3,428.70, 5,143.05 and 3,126.30 is: 4,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.70 : 5,143.05 = 3,126.30 : x
  2. Step 2: Convert to fraction form
    3,428.70/5,143.05 = 3,126.30/x
  3. Step 3: Cross multiply
    3,428.70x = 5,143.05 × 3,126.30
  4. Step 4: Simplify right side
    3,428.70x = 16,078,717.22
  5. Step 5: Solve for x
    x = 16,078,717.22/3,428.70
  6. Step 6: Final answer
    x = 4,689.45

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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.