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Finding the Fourth Proportional to 5,719.40, 8,573.24 and 3,640.96

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Solution

The fourth proportional to 5,719.40, 8,573.24 and 3,640.96 is: 5,457.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.40 : 8,573.24 = 3,640.96 : x
  2. Step 2: Convert to fraction form
    5,719.40/8,573.24 = 3,640.96/x
  3. Step 3: Cross multiply
    5,719.40x = 8,573.24 × 3,640.96
  4. Step 4: Simplify right side
    5,719.40x = 31,214,823.91
  5. Step 5: Solve for x
    x = 31,214,823.91/5,719.40
  6. Step 6: Final answer
    x = 5,457.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.