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Finding the Fourth Proportional to 5,410.56, 8,114.22 and 1,947

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Solution

The fourth proportional to 5,410.56, 8,114.22 and 1,947 is: 2,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.56 : 8,114.22 = 1,947 : x
  2. Step 2: Convert to fraction form
    5,410.56/8,114.22 = 1,947/x
  3. Step 3: Cross multiply
    5,410.56x = 8,114.22 × 1,947
  4. Step 4: Simplify right side
    5,410.56x = 15,798,386.34
  5. Step 5: Solve for x
    x = 15,798,386.34/5,410.56
  6. Step 6: Final answer
    x = 2,919.92

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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.