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Finding the Fourth Proportional to 4,234.76, 5,855.12 and 3,709.29

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Solution

The fourth proportional to 4,234.76, 5,855.12 and 3,709.29 is: 5,128.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.76 : 5,855.12 = 3,709.29 : x
  2. Step 2: Convert to fraction form
    4,234.76/5,855.12 = 3,709.29/x
  3. Step 3: Cross multiply
    4,234.76x = 5,855.12 × 3,709.29
  4. Step 4: Simplify right side
    4,234.76x = 21,718,319.52
  5. Step 5: Solve for x
    x = 21,718,319.52/4,234.76
  6. Step 6: Final answer
    x = 5,128.59

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