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Finding the Fourth Proportional to 3,598.96, 4,966.74 and 2,027.17

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Solution

The fourth proportional to 3,598.96, 4,966.74 and 2,027.17 is: 2,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.96 : 4,966.74 = 2,027.17 : x
  2. Step 2: Convert to fraction form
    3,598.96/4,966.74 = 2,027.17/x
  3. Step 3: Cross multiply
    3,598.96x = 4,966.74 × 2,027.17
  4. Step 4: Simplify right side
    3,598.96x = 10,068,426.33
  5. Step 5: Solve for x
    x = 10,068,426.33/3,598.96
  6. Step 6: Final answer
    x = 2,797.59

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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.