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Finding the Fourth Proportional to 5,724.64, 8,582.08 and 5,452.48

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Solution

The fourth proportional to 5,724.64, 8,582.08 and 5,452.48 is: 8,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.64 : 8,582.08 = 5,452.48 : x
  2. Step 2: Convert to fraction form
    5,724.64/8,582.08 = 5,452.48/x
  3. Step 3: Cross multiply
    5,724.64x = 8,582.08 × 5,452.48
  4. Step 4: Simplify right side
    5,724.64x = 46,793,619.56
  5. Step 5: Solve for x
    x = 46,793,619.56/5,724.64
  6. Step 6: Final answer
    x = 8,174.07

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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.