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Finding the Fourth Proportional to 5,806.70, 8,011.91 and 3,288.46

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Solution

The fourth proportional to 5,806.70, 8,011.91 and 3,288.46 is: 4,537.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.70 : 8,011.91 = 3,288.46 : x
  2. Step 2: Convert to fraction form
    5,806.70/8,011.91 = 3,288.46/x
  3. Step 3: Cross multiply
    5,806.70x = 8,011.91 × 3,288.46
  4. Step 4: Simplify right side
    5,806.70x = 26,346,845.56
  5. Step 5: Solve for x
    x = 26,346,845.56/5,806.70
  6. Step 6: Final answer
    x = 4,537.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.