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Finding the Fourth Proportional to 5,928.57, 8,182.04 and 3,690.63

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Solution

The fourth proportional to 5,928.57, 8,182.04 and 3,690.63 is: 5,093.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,928.57 : 8,182.04 = 3,690.63 : x
  2. Step 2: Convert to fraction form
    5,928.57/8,182.04 = 3,690.63/x
  3. Step 3: Cross multiply
    5,928.57x = 8,182.04 × 3,690.63
  4. Step 4: Simplify right side
    5,928.57x = 30,196,863.83
  5. Step 5: Solve for x
    x = 30,196,863.83/5,928.57
  6. Step 6: Final answer
    x = 5,093.45

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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.