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Finding the Fourth Proportional to 3,564.84, 4,921.79 and 3,191.17

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Solution

The fourth proportional to 3,564.84, 4,921.79 and 3,191.17 is: 4,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.84 : 4,921.79 = 3,191.17 : x
  2. Step 2: Convert to fraction form
    3,564.84/4,921.79 = 3,191.17/x
  3. Step 3: Cross multiply
    3,564.84x = 4,921.79 × 3,191.17
  4. Step 4: Simplify right side
    3,564.84x = 15,706,268.59
  5. Step 5: Solve for x
    x = 15,706,268.59/3,564.84
  6. Step 6: Final answer
    x = 4,405.88

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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.