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Finding the Fourth Proportional to 3,426.70, 5,144.10 and 3,402.40

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Solution

The fourth proportional to 3,426.70, 5,144.10 and 3,402.40 is: 5,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.70 : 5,144.10 = 3,402.40 : x
  2. Step 2: Convert to fraction form
    3,426.70/5,144.10 = 3,402.40/x
  3. Step 3: Cross multiply
    3,426.70x = 5,144.10 × 3,402.40
  4. Step 4: Simplify right side
    3,426.70x = 17,502,285.84
  5. Step 5: Solve for x
    x = 17,502,285.84/3,426.70
  6. Step 6: Final answer
    x = 5,107.62

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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.