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Finding the Fourth Proportional to 5,007.24, 7,512.48 and 2,409.84

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Solution

The fourth proportional to 5,007.24, 7,512.48 and 2,409.84 is: 3,615.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.24 : 7,512.48 = 2,409.84 : x
  2. Step 2: Convert to fraction form
    5,007.24/7,512.48 = 2,409.84/x
  3. Step 3: Cross multiply
    5,007.24x = 7,512.48 × 2,409.84
  4. Step 4: Simplify right side
    5,007.24x = 18,103,874.80
  5. Step 5: Solve for x
    x = 18,103,874.80/5,007.24
  6. Step 6: Final answer
    x = 3,615.54

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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.