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Finding the Fourth Proportional to 3,598.12, 4,965.52 and 2,106.17

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Solution

The fourth proportional to 3,598.12, 4,965.52 and 2,106.17 is: 2,906.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.12 : 4,965.52 = 2,106.17 : x
  2. Step 2: Convert to fraction form
    3,598.12/4,965.52 = 2,106.17/x
  3. Step 3: Cross multiply
    3,598.12x = 4,965.52 × 2,106.17
  4. Step 4: Simplify right side
    3,598.12x = 10,458,229.26
  5. Step 5: Solve for x
    x = 10,458,229.26/3,598.12
  6. Step 6: Final answer
    x = 2,906.59

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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.