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Finding the Fourth Proportional to 3,546.96, 5,312.23 and 3,423.94

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Solution

The fourth proportional to 3,546.96, 5,312.23 and 3,423.94 is: 5,127.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.96 : 5,312.23 = 3,423.94 : x
  2. Step 2: Convert to fraction form
    3,546.96/5,312.23 = 3,423.94/x
  3. Step 3: Cross multiply
    3,546.96x = 5,312.23 × 3,423.94
  4. Step 4: Simplify right side
    3,546.96x = 18,188,743.51
  5. Step 5: Solve for x
    x = 18,188,743.51/3,546.96
  6. Step 6: Final answer
    x = 5,127.99

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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.