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Finding the Fourth Proportional to 5,806.56, 8,012.52 and 3,416.88

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Solution

The fourth proportional to 5,806.56, 8,012.52 and 3,416.88 is: 4,714.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.56 : 8,012.52 = 3,416.88 : x
  2. Step 2: Convert to fraction form
    5,806.56/8,012.52 = 3,416.88/x
  3. Step 3: Cross multiply
    5,806.56x = 8,012.52 × 3,416.88
  4. Step 4: Simplify right side
    5,806.56x = 27,377,819.34
  5. Step 5: Solve for x
    x = 27,377,819.34/5,806.56
  6. Step 6: Final answer
    x = 4,714.98

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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.