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Finding the Fourth Proportional to 5,728.96, 8,585.28 and 3,389.44

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Solution

The fourth proportional to 5,728.96, 8,585.28 and 3,389.44 is: 5,079.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.96 : 8,585.28 = 3,389.44 : x
  2. Step 2: Convert to fraction form
    5,728.96/8,585.28 = 3,389.44/x
  3. Step 3: Cross multiply
    5,728.96x = 8,585.28 × 3,389.44
  4. Step 4: Simplify right side
    5,728.96x = 29,099,291.44
  5. Step 5: Solve for x
    x = 29,099,291.44/5,728.96
  6. Step 6: Final answer
    x = 5,079.33

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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.