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Finding the Fourth Proportional to 6,099.60, 8,416.98 and 3,447.24

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Solution

The fourth proportional to 6,099.60, 8,416.98 and 3,447.24 is: 4,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.60 : 8,416.98 = 3,447.24 : x
  2. Step 2: Convert to fraction form
    6,099.60/8,416.98 = 3,447.24/x
  3. Step 3: Cross multiply
    6,099.60x = 8,416.98 × 3,447.24
  4. Step 4: Simplify right side
    6,099.60x = 29,015,350.14
  5. Step 5: Solve for x
    x = 29,015,350.14/6,099.60
  6. Step 6: Final answer
    x = 4,756.93

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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.