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Finding the Fourth Proportional to 5,202.84, 7,794.90 and 2,860.32

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Solution

The fourth proportional to 5,202.84, 7,794.90 and 2,860.32 is: 4,285.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.84 : 7,794.90 = 2,860.32 : x
  2. Step 2: Convert to fraction form
    5,202.84/7,794.90 = 2,860.32/x
  3. Step 3: Cross multiply
    5,202.84x = 7,794.90 × 2,860.32
  4. Step 4: Simplify right side
    5,202.84x = 22,295,908.37
  5. Step 5: Solve for x
    x = 22,295,908.37/5,202.84
  6. Step 6: Final answer
    x = 4,285.33

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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.