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Finding the Fourth Proportional to 3,316.14, 5,004.32 and 3,205.98

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Solution

The fourth proportional to 3,316.14, 5,004.32 and 3,205.98 is: 4,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.14 : 5,004.32 = 3,205.98 : x
  2. Step 2: Convert to fraction form
    3,316.14/5,004.32 = 3,205.98/x
  3. Step 3: Cross multiply
    3,316.14x = 5,004.32 × 3,205.98
  4. Step 4: Simplify right side
    3,316.14x = 16,043,733.80
  5. Step 5: Solve for x
    x = 16,043,733.80/3,316.14
  6. Step 6: Final answer
    x = 4,838.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.