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Finding the Fourth Proportional to 5,204.16, 7,786.80 and 3,013.92

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Solution

The fourth proportional to 5,204.16, 7,786.80 and 3,013.92 is: 4,509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.16 : 7,786.80 = 3,013.92 : x
  2. Step 2: Convert to fraction form
    5,204.16/7,786.80 = 3,013.92/x
  3. Step 3: Cross multiply
    5,204.16x = 7,786.80 × 3,013.92
  4. Step 4: Simplify right side
    5,204.16x = 23,468,792.26
  5. Step 5: Solve for x
    x = 23,468,792.26/5,204.16
  6. Step 6: Final answer
    x = 4,509.62

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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.