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Finding the Fourth Proportional to 6,099.33, 8,416.44 and 3,410.40

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Solution

The fourth proportional to 6,099.33, 8,416.44 and 3,410.40 is: 4,706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.33 : 8,416.44 = 3,410.40 : x
  2. Step 2: Convert to fraction form
    6,099.33/8,416.44 = 3,410.40/x
  3. Step 3: Cross multiply
    6,099.33x = 8,416.44 × 3,410.40
  4. Step 4: Simplify right side
    6,099.33x = 28,703,426.98
  5. Step 5: Solve for x
    x = 28,703,426.98/6,099.33
  6. Step 6: Final answer
    x = 4,706.00

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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.