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Finding the Fourth Proportional to 3,564.96, 4,921.00 and 3,191.25

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Solution

The fourth proportional to 3,564.96, 4,921.00 and 3,191.25 is: 4,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.96 : 4,921.00 = 3,191.25 : x
  2. Step 2: Convert to fraction form
    3,564.96/4,921.00 = 3,191.25/x
  3. Step 3: Cross multiply
    3,564.96x = 4,921.00 × 3,191.25
  4. Step 4: Simplify right side
    3,564.96x = 15,704,133.27
  5. Step 5: Solve for x
    x = 15,704,133.27/3,564.96
  6. Step 6: Final answer
    x = 4,405.14

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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.