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Finding the Fourth Proportional to 3,785.96, 5,224.54 and 2,107.32

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Solution

The fourth proportional to 3,785.96, 5,224.54 and 2,107.32 is: 2,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.96 : 5,224.54 = 2,107.32 : x
  2. Step 2: Convert to fraction form
    3,785.96/5,224.54 = 2,107.32/x
  3. Step 3: Cross multiply
    3,785.96x = 5,224.54 × 2,107.32
  4. Step 4: Simplify right side
    3,785.96x = 11,009,777.63
  5. Step 5: Solve for x
    x = 11,009,777.63/3,785.96
  6. Step 6: Final answer
    x = 2,908.05

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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.