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Finding the Fourth Proportional to 5,859.14, 8,085.40 and 3,499.88

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Solution

The fourth proportional to 5,859.14, 8,085.40 and 3,499.88 is: 4,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.14 : 8,085.40 = 3,499.88 : x
  2. Step 2: Convert to fraction form
    5,859.14/8,085.40 = 3,499.88/x
  3. Step 3: Cross multiply
    5,859.14x = 8,085.40 × 3,499.88
  4. Step 4: Simplify right side
    5,859.14x = 28,297,929.75
  5. Step 5: Solve for x
    x = 28,297,929.75/5,859.14
  6. Step 6: Final answer
    x = 4,829.71

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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.