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Finding the Fourth Proportional to 3,699.68, 5,105.60 and 2,106.16

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Solution

The fourth proportional to 3,699.68, 5,105.60 and 2,106.16 is: 2,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.68 : 5,105.60 = 2,106.16 : x
  2. Step 2: Convert to fraction form
    3,699.68/5,105.60 = 2,106.16/x
  3. Step 3: Cross multiply
    3,699.68x = 5,105.60 × 2,106.16
  4. Step 4: Simplify right side
    3,699.68x = 10,753,210.50
  5. Step 5: Solve for x
    x = 10,753,210.50/3,699.68
  6. Step 6: Final answer
    x = 2,906.52

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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.