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Finding the Fourth Proportional to 6,046.60, 8,349 and 3,923.12

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Solution

The fourth proportional to 6,046.60, 8,349 and 3,923.12 is: 5,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.60 : 8,349 = 3,923.12 : x
  2. Step 2: Convert to fraction form
    6,046.60/8,349 = 3,923.12/x
  3. Step 3: Cross multiply
    6,046.60x = 8,349 × 3,923.12
  4. Step 4: Simplify right side
    6,046.60x = 32,754,128.88
  5. Step 5: Solve for x
    x = 32,754,128.88/6,046.60
  6. Step 6: Final answer
    x = 5,416.95

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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.