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Finding the Fourth Proportional to 5,825.36, 8,736 and 1,928.72

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Solution

The fourth proportional to 5,825.36, 8,736 and 1,928.72 is: 2,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.36 : 8,736 = 1,928.72 : x
  2. Step 2: Convert to fraction form
    5,825.36/8,736 = 1,928.72/x
  3. Step 3: Cross multiply
    5,825.36x = 8,736 × 1,928.72
  4. Step 4: Simplify right side
    5,825.36x = 16,849,297.92
  5. Step 5: Solve for x
    x = 16,849,297.92/5,825.36
  6. Step 6: Final answer
    x = 2,892.40

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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.