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Finding the Fourth Proportional to 3,423.36, 5,129.09 and 3,341.62

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Solution

The fourth proportional to 3,423.36, 5,129.09 and 3,341.62 is: 5,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.36 : 5,129.09 = 3,341.62 : x
  2. Step 2: Convert to fraction form
    3,423.36/5,129.09 = 3,341.62/x
  3. Step 3: Cross multiply
    3,423.36x = 5,129.09 × 3,341.62
  4. Step 4: Simplify right side
    3,423.36x = 17,139,471.96
  5. Step 5: Solve for x
    x = 17,139,471.96/3,423.36
  6. Step 6: Final answer
    x = 5,006.62

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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.