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Finding the Fourth Proportional to 5,928.22, 8,182.08 and 3,412

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Solution

The fourth proportional to 5,928.22, 8,182.08 and 3,412 is: 4,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.22 : 8,182.08 = 3,412 : x
  2. Step 2: Convert to fraction form
    5,928.22/8,182.08 = 3,412/x
  3. Step 3: Cross multiply
    5,928.22x = 8,182.08 × 3,412
  4. Step 4: Simplify right side
    5,928.22x = 27,917,256.96
  5. Step 5: Solve for x
    x = 27,917,256.96/5,928.22
  6. Step 6: Final answer
    x = 4,709.21

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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.