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Finding the Fourth Proportional to 5,928.70, 8,182.24 and 3,410.92

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Solution

The fourth proportional to 5,928.70, 8,182.24 and 3,410.92 is: 4,707.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.70 : 8,182.24 = 3,410.92 : x
  2. Step 2: Convert to fraction form
    5,928.70/8,182.24 = 3,410.92/x
  3. Step 3: Cross multiply
    5,928.70x = 8,182.24 × 3,410.92
  4. Step 4: Simplify right side
    5,928.70x = 27,908,966.06
  5. Step 5: Solve for x
    x = 27,908,966.06/5,928.70
  6. Step 6: Final answer
    x = 4,707.43

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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.