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Finding the Fourth Proportional to 5,876.70, 8,819.37 and 3,529.32

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Solution

The fourth proportional to 5,876.70, 8,819.37 and 3,529.32 is: 5,296.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.70 : 8,819.37 = 3,529.32 : x
  2. Step 2: Convert to fraction form
    5,876.70/8,819.37 = 3,529.32/x
  3. Step 3: Cross multiply
    5,876.70x = 8,819.37 × 3,529.32
  4. Step 4: Simplify right side
    5,876.70x = 31,126,378.93
  5. Step 5: Solve for x
    x = 31,126,378.93/5,876.70
  6. Step 6: Final answer
    x = 5,296.57

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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.