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Finding the Fourth Proportional to 5,212.76, 7,807.79 and 3,016.04

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Solution

The fourth proportional to 5,212.76, 7,807.79 and 3,016.04 is: 4,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.76 : 7,807.79 = 3,016.04 : x
  2. Step 2: Convert to fraction form
    5,212.76/7,807.79 = 3,016.04/x
  3. Step 3: Cross multiply
    5,212.76x = 7,807.79 × 3,016.04
  4. Step 4: Simplify right side
    5,212.76x = 23,548,575.45
  5. Step 5: Solve for x
    x = 23,548,575.45/5,212.76
  6. Step 6: Final answer
    x = 4,517.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.