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Finding the Fourth Proportional to 3,696.92, 5,105.40 and 2,909.60

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Solution

The fourth proportional to 3,696.92, 5,105.40 and 2,909.60 is: 4,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.92 : 5,105.40 = 2,909.60 : x
  2. Step 2: Convert to fraction form
    3,696.92/5,105.40 = 2,909.60/x
  3. Step 3: Cross multiply
    3,696.92x = 5,105.40 × 2,909.60
  4. Step 4: Simplify right side
    3,696.92x = 14,854,671.84
  5. Step 5: Solve for x
    x = 14,854,671.84/3,696.92
  6. Step 6: Final answer
    x = 4,018.12

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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.