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Finding the Fourth Proportional to 4,493.68, 6,201.06 and 2,815.16

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Solution

The fourth proportional to 4,493.68, 6,201.06 and 2,815.16 is: 3,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.68 : 6,201.06 = 2,815.16 : x
  2. Step 2: Convert to fraction form
    4,493.68/6,201.06 = 2,815.16/x
  3. Step 3: Cross multiply
    4,493.68x = 6,201.06 × 2,815.16
  4. Step 4: Simplify right side
    4,493.68x = 17,456,934.51
  5. Step 5: Solve for x
    x = 17,456,934.51/4,493.68
  6. Step 6: Final answer
    x = 3,884.78

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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.