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Finding the Fourth Proportional to 3,614.60, 5,420.64 and 1,274

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Solution

The fourth proportional to 3,614.60, 5,420.64 and 1,274 is: 1,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.60 : 5,420.64 = 1,274 : x
  2. Step 2: Convert to fraction form
    3,614.60/5,420.64 = 1,274/x
  3. Step 3: Cross multiply
    3,614.60x = 5,420.64 × 1,274
  4. Step 4: Simplify right side
    3,614.60x = 6,905,895.36
  5. Step 5: Solve for x
    x = 6,905,895.36/3,614.60
  6. Step 6: Final answer
    x = 1,910.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.