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Finding the Fourth Proportional to 5,928.96, 8,182.58 and 3,411.17

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Solution

The fourth proportional to 5,928.96, 8,182.58 and 3,411.17 is: 4,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.96 : 8,182.58 = 3,411.17 : x
  2. Step 2: Convert to fraction form
    5,928.96/8,182.58 = 3,411.17/x
  3. Step 3: Cross multiply
    5,928.96x = 8,182.58 × 3,411.17
  4. Step 4: Simplify right side
    5,928.96x = 27,912,113.45
  5. Step 5: Solve for x
    x = 27,912,113.45/5,928.96
  6. Step 6: Final answer
    x = 4,707.76

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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.