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Finding the Fourth Proportional to 5,494.33, 7,582.07 and 2,976.42

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Solution

The fourth proportional to 5,494.33, 7,582.07 and 2,976.42 is: 4,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.33 : 7,582.07 = 2,976.42 : x
  2. Step 2: Convert to fraction form
    5,494.33/7,582.07 = 2,976.42/x
  3. Step 3: Cross multiply
    5,494.33x = 7,582.07 × 2,976.42
  4. Step 4: Simplify right side
    5,494.33x = 22,567,409.91
  5. Step 5: Solve for x
    x = 22,567,409.91/5,494.33
  6. Step 6: Final answer
    x = 4,107.40

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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.