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Finding the Fourth Proportional to 5,409.36, 8,114.88 and 1,947.42

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Solution

The fourth proportional to 5,409.36, 8,114.88 and 1,947.42 is: 2,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.36 : 8,114.88 = 1,947.42 : x
  2. Step 2: Convert to fraction form
    5,409.36/8,114.88 = 1,947.42/x
  3. Step 3: Cross multiply
    5,409.36x = 8,114.88 × 1,947.42
  4. Step 4: Simplify right side
    5,409.36x = 15,803,079.61
  5. Step 5: Solve for x
    x = 15,803,079.61/5,409.36
  6. Step 6: Final answer
    x = 2,921.43

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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.