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Finding the Fourth Proportional to 5,409.84, 8,116.92 and 1,947.36

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Solution

The fourth proportional to 5,409.84, 8,116.92 and 1,947.36 is: 2,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.84 : 8,116.92 = 1,947.36 : x
  2. Step 2: Convert to fraction form
    5,409.84/8,116.92 = 1,947.36/x
  3. Step 3: Cross multiply
    5,409.84x = 8,116.92 × 1,947.36
  4. Step 4: Simplify right side
    5,409.84x = 15,806,565.33
  5. Step 5: Solve for x
    x = 15,806,565.33/5,409.84
  6. Step 6: Final answer
    x = 2,921.82

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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.