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Finding the Fourth Proportional to 5,735.79, 8,581.94 and 3,397.05

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Solution

The fourth proportional to 5,735.79, 8,581.94 and 3,397.05 is: 5,082.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.79 : 8,581.94 = 3,397.05 : x
  2. Step 2: Convert to fraction form
    5,735.79/8,581.94 = 3,397.05/x
  3. Step 3: Cross multiply
    5,735.79x = 8,581.94 × 3,397.05
  4. Step 4: Simplify right side
    5,735.79x = 29,153,279.28
  5. Step 5: Solve for x
    x = 29,153,279.28/5,735.79
  6. Step 6: Final answer
    x = 5,082.70

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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.