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Finding the Fourth Proportional to 3,538.70, 5,310.57 and 1,592.54

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Solution

The fourth proportional to 3,538.70, 5,310.57 and 1,592.54 is: 2,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.70 : 5,310.57 = 1,592.54 : x
  2. Step 2: Convert to fraction form
    3,538.70/5,310.57 = 1,592.54/x
  3. Step 3: Cross multiply
    3,538.70x = 5,310.57 × 1,592.54
  4. Step 4: Simplify right side
    3,538.70x = 8,457,295.15
  5. Step 5: Solve for x
    x = 8,457,295.15/3,538.70
  6. Step 6: Final answer
    x = 2,389.94

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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.